====== List of papers and preprints ====== Μετὰ δὲ ταῦτα ἐπιπεσόντων θεωρημάτων τινῶν ἀνελέγκτων, πεπραγματεύμεθα τὰς ἀποδείξεις αὐτῶν. ---- * **63. Lexicographic products as compact spaces of the first Baire class** (with S. Todorcevic) [[https://arxiv.org/abs/1905.02988|get preprint from arxiv]] ---- * **62. Projectivity of the free Banach lattice generated by a lattice** (with J. D. Rodríguez Abellán), Archiv der Mathematik [[https://link.springer.com/article/10.1007/s00013-019-01360-3|get published paper]] [[https://arxiv.org/abs/1903.01191|get preprint from arxiv]] ---- * **61. Twisting c0 around nonseparable Banach spaces** (with W. Marciszewski and G. Plebanek) [[https://arxiv.org/abs/1902.07783|get preprint from arxiv]] ---- * **60. On fragmentable compact lines** (with G. Martínez Cervantes, G. Plebanek and S. Todorcevic) Mediterranean J. Math. 16:65 [[https://link.springer.com/article/10.1007/s00009-019-1345-7?wt_mc=Internal.Event.1.SEM.ArticleAuthorIncrementalIssue&utm_source=ArticleAuthorIncrementalIssue&utm_medium=email&utm_content=AA_en_06082018&ArticleAuthorIncrementalIssue_20190421|get published paper]] [[https://arxiv.org/abs/1806.08934|get preprint from arxiv]] ---- * **59. The free Banach lattice generated by a lattice** (with J. D. Rodríguez Abellán) Positivity. [[https://link.springer.com/article/10.1007%2Fs11117-018-0626-x|get published paper]] [[https://arxiv.org/abs/1806.08381|get preprint from arxiv]] ---- * **58. The free Banach lattices generated by lp and c0** (with P. Tradacete and I. Villanueva) Rev. Mat. Complutense. 32 (2019), 353--364. [[https://link.springer.com/article/10.1007%2Fs13163-018-0290-5|get published paper]] [[https://arxiv.org/abs/1806.02553|get preprint from arxiv]] ---- * **57. Weak*-sequential properties of Johnson-Lindenstrauss spaces** (with G. Martínez Cervantes and J. Rodríguez) J. Funct. Anal. [[https://www.sciencedirect.com/science/article/pii/S0022123618303422|get published paper]] [[https://arxiv.org/abs/1804.10350|get preprint from arxiv]] ---- * **56. Complete metric spaces with property (Z) are length spaces** (with G. Martínez Cervantes), J. Math. Anal. Appl. 473 (2019), 334-344. [[https://www.sciencedirect.com/science/article/pii/S0022247X18310965|get published paper]] [[https://arxiv.org/abs/1808.00715|get preprint from arxiv]] ---- * **55. Isolating subgaps of a multiple gap** (with S. Todorcevic) Monatsh. Math. 186 (2018), 373-392 [[https://link.springer.com/article/10.1007/s00605-018-1189-4|get published paper]] {{4breaking.pdf|get preprint}} ---- * **54. Chain conditions in free Banach lattices** (with G. Plebanek and J. D. Rodríguez Abellán), J. Math. Anal. Appl. 465 (2018), 1223 -1229. [[https://www.sciencedirect.com/science/article/pii/S0022247X18304621|get published paper]] [[https://arxiv.org/abs/1801.07027|get preprint from arxiv]] ---- * **53. The free Banach lattice generated by a Banach space** (with J. Rodríguez and P. Tradacete), Journal of Functional Analysis 274 (2018), 2955-2977. [[https://www.sciencedirect.com/science/article/pii/S002212361830096X|get published paper]] [[https://arxiv.org/abs/1706.08147|get preprint from arxiv]] ---- * **52. A 1‐separably injective Banach space that does not contain l∞** (with P. Koszmider) Bull. Lond. Math. Soc. 50 (2018), 249-260. [[http://onlinelibrary.wiley.com/doi/10.1112/blms.12134/full|get published paper]] [[https://arxiv.org/abs/1609.02685|get preprint from arxiv]] ---- * **51. Boolean-valued models as a foundation of locally L0-convex analysis and conditional set theory** (with J. M. Zapata), Journal of Applied Logics 5, no. 1, 389-420. [[http://www.collegepublications.co.uk/journals/ifcolog/?00021|get published paper]] [[https://arxiv.org/abs/1709.07185|get preprint from arxiv]] ---- * **50. A little ado about rectangles** (with G. Plebanek) American Mathematical Monthly 124 (2017), no. 4, 345–350. [[http://www.jstor.org/stable/10.4169/amer.math.monthly.124.4.345?seq=1#page_scan_tab_contents|get published paper]] {{rectangles_final.pdf|get preprint}} ---- * **49. On disconnected images of connected spaces** (with G. Plebanek) Topology and its applications 228 (2017), 108–124. [[https://www.sciencedirect.com/science/article/pii/S0166864117302900|get published paper]] [[https://arxiv.org/abs/1610.04829|get preprint from arxiv]] ---- * **48. Weakly Radon–Nikodým Boolean algebras and independent sequences** (with G. Martínez Cervantes and G. Plebanek) Fund. Math. 241 (2018), no. 1, 45-66. [[https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/all/241/1/92192/weakly-radon-nikodym-boolean-algebras-and-independent-sequences|get published paper]] [[https://arxiv.org/abs/1610.04257||get preprint from arxiv]] ---- * **47. Free sets for set-mappings relative to a family of sets** (with C. Piña) Mathematical Logic Quarterly 63 (2017), 605-613. [[http://onlinelibrary.wiley.com/doi/10.1002/malq.201600100/abstract|get published paper]] [[https://arxiv.org/abs/1607.03291|get preprint from arxiv]] //Notice the "added in proof" comments in the preprint in arxiv// ---- * **46. Types in the n-adic tree and minimal analytic gaps** (with S. Todorcevic), Advances in Mathematics 292 (2016), 558-600. [[http://ac.els-cdn.com/S0001870816000475/1-s2.0-S0001870816000475-main.pdf?_tid=93c8e4be-3b0a-11e6-848b-00000aacb360&acdnat=1466882909_60d21d5cc8b749a928d24d6f44867519|get published paper]] Contents can be found as chapter 2 and section 3.1 in [[http://arxiv.org/abs/1209.3751|this preprint]] ---- * **45. Baire theorem for ideals of sets** (with V. Kadets, A. Pérez and S. Solecki), Journal of Mathematical Analysis and Applications 445 (2017), 1221-1231. [[http://www.sciencedirect.com/science/article/pii/S0022247X1600216X|get published paper]] [[http://arxiv.org/abs/1603.08699|get preprint from arxiv]] ---- * **44. Convex combinations of weak* convergent sequences and the Mackey topology** (with José Rodríguez). Mediterranean Journal of Mathematics 13, 4995-5007. [[https://link.springer.com/article/10.1007/s00009-016-0788-3|get published paper]] [[http://arxiv.org/abs/1601.05825 |get preprint from arxiv]] ---- * **43. Weakly compactly generated Banach lattices** (with Antonio José Guirao, Sebastián Lajara, José Rodríguez and Pedro Tradacete), Studia Mathematica 234 (2016) , 165-183. [[https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/234/2/91665/weakly-compactly-generated-banach-lattices|get published paper]] [[http://arxiv.org/abs/1512.08628 |get preprint from arxiv]] ---- * **42. Compact spaces of the first Baire class that have finite open degree** (with Stevo Todorcevic). Journal of the Institute of Mathematics of Jussieu 17 (2018), 1173-1196. [[https://www.cambridge.org/core/journals/journal-of-the-institute-of-mathematics-of-jussieu/article/compact-spaces-of-the-first-baire-class-that-have-open-finite-degree/CB56A1B5C189980F357E4A886D4EBFA5|get published paper]] [[http://arxiv.org/abs/1512.08363 |get preprint from arxiv]] ---- * **41. Rosenthal compacta that are premetric of finite degree ** (with Alejandro Poveda and Stevo Todorcevic). Fundamenta Mathematicae 239 (2017), 259-278 [[https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/online/91927/rosenthal-compacta-that-are-premetric-of-finite-degree|get published paper]] [[http://arxiv.org/abs/1512.06070 |get preprint from arxiv]] ---- * **40. Extension operators on balls and on spaces of finite sets** (with Witold Marciszewski), Studia Math. 227(2), s. 165-182, 2015. [[https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/227/2/91219/extension-operators-on-balls-and-on-spaces-of-finite-sets|get published paper]] [[http://arxiv.org/abs/1502.01875|get preprint from arxiv]] ---- * **39. Tukey classification of some ideals in ω and the lattices of weakly compact sets in Banach spaces** (with Grzegorz Plebanek and José Rodríguez). Advances in Mathematics 310 (2017) Pages 696–758. [[https://www.sciencedirect.com/science/article/pii/S0001870815304552|get published paper]] [[http://arxiv.org/abs/1406.5526|get preprint from arxiv]] ---- * **38. An introduction to multiple gaps**, Zbornik radova. Matematički institut. 17(25), 2015, pp. 7-32 [[http://elib.mi.sanu.ac.rs/pages/browse_issue.php?db=zr&rbr=25|get published paper]] [[http://arxiv.org/abs/1406.6386|get preprint from arxiv]] ---- * **37. Finite basis for analytic multiple gaps** (with Stevo Todorcevic), Publ. Math. IHES. 121 (2015), 57-79. [[http://link.springer.com/article/10.1007%2Fs10240-014-0063-8|get published paper]] Contents can be found as chapter 1 in [[http://arxiv.org/abs/1209.3751|this preprint]] ---- * **36. ﬡ-injective Banach spaces and ﬡ-projective compacta** (with Félix Cabello, Jesús Castillo, Manuel González and Yolanda Moreno), Rev. Mat. Iberoamericana. 31 (2015), pp. 575–600. [[http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=31&iss=2&rank=8|get published paper]] [[http://arxiv.org/abs/1406.6733|get preprint from arxiv]] ---- * **35. On ultrapowers of Banach spaces of type L∞** (with Félix Cabello, Jesús Castillo, Manuel González and Yolanda Moreno), Fundamenta Mathematicae 222 (2013), 195-212. [[http://journals.impan.pl/cgi-bin/fm/pdf?fm222-3-01|get published paper]] [[http://arxiv.org/abs/1307.4387|get preprint from arxiv]] ---- * **34. On the Bishop-Phelps-Bollobás property for numerical radius in C(K)-spaces** (with Antonio José Guirao and José Rodríguez), Journal of Mathematical Analysis and Applications 49 (2014) 395-421. [[http://www.sciencedirect.com/science/article/pii/S0022247X14003904|get published paper]] [[http://arxiv.org/abs/1212.6761|get preprint from arxiv]] ---- * **33. Basis problem for analytic multiple gaps** (with Stevo Todorcevic) [[http://arxiv.org/abs/1209.3751|get preprint from arxiv]] __Note__: This preprint was not published in this form, but parts of its content are published in separate articles mentioned above. ---- * **32. A Banach space in which every injective operator is surjective** (with Piotr Koszmider), Bulletin of the London Mathematical Society 45 (2013) 1065–1074. [[http://blms.oxfordjournals.org/content/early/2013/07/04/blms.bdt039.full.pdf+html|get published paper]] [[http://arxiv.org/abs/1209.3042|get preprint from arxiv]] ---- * **31. On Baire measurability in spaces of continuous functions** (with Grzegorz Plebanek and José Rodríguez), Journal of Mathematical Analysis and Applications 398 (2013) 230–238 [[http://dx.doi.org/10.1016/j.jmaa.2012.08.042|get published paper]] [[http://arxiv.org/abs/1208.2207|get preprint from arxiv]] ---- * **30. Are Eberlein-Grothendieck spaces σ-discrete?** (with David Guerrero Sánchez), RACSAM 108 (2014), 849-859 [[http://link.springer.com/article/10.1007/s13398-013-0146-2|get published paper]] [[http://arxiv.org/abs/1202.6310|get preprint from arxiv]] ---- * **29. A weak* separable C(K)* space whose unit ball is not weak* separable** (with Grzegorz Plebanek and José Rodríguez), Transactions of the American Mathematical Society 366 (2014), 4733-4753. [[http://www.ams.org/journals/tran/2014-366-09/S0002-9947-2014-05962-X/home.html|get published paper]] [[http://arxiv.org/abs/1112.5710|get preprint from arxiv]] ---- * **28. A continuous image of a Radon-Nikodým compact space which is not Radon-Nikodým** (with Piotr Koszmider), Duke Math. J. 162, no.2 (2013), 2285-2299. [[http://projecteuclid.org/euclid.dmj/1378729688|get published paper]] [[http://arxiv.org/abs/1112.4152|get preprint from arxiv]] ---- * **27. Measurability in C(2κ) and Kunen cardinals** (with Grzegorz Plebanek and José Rodríguez), Israel Journal of Mathematics 195 (2013), 1-30. [[http://link.springer.com/article/10.1007/s11856-012-0122-0|get published paper]] [[http://arxiv.org/abs/1103.0247|get preprint from arxiv]] ---- * **26. A Boolean algebra and a Banach space obtained by push-out iteration** (with Christina Brech), Topology and its Applications 158 (2011) 1534-1550. [[http://www.sciencedirect.com/science/article/pii/S0166864111001696/|get published paper]] [[http://arxiv.org/abs/1012.5051|get preprint from arxiv]] ---- * **25. Finite basis for analytic strong n-gaps** (with Stevo Todorcevic), Combinatorica 33(4) 2013, 375-393 [[http://link.springer.com/article/10.1007/s00493-013-2773-9|get published paper]] [[http://arxiv.org/abs/1012.4954|get preprint from arxiv]] ---- * **24. Compactness in Banach space theory – selected problems** (with Ondrej Kalenda), RACSAM 104(2) 2010, 337-352. [[http://www.springerlink.com/content/1w2k7895314lx1q3/|get published paper]] [[http://arxiv.org/abs/1005.4303|get preprint from arxiv]] ---- * **23. Banach spaces of universal disposition** (with Félix Cabello, Jesús Castillo, Manuel González and Yolanda Moreno), Journal of Functional Analysis 261(9) 2011, 2347-2361. [[http://www.sciencedirect.com/science/article/pii/S0022123611002369|get published paper]] [[http://arxiv.org/abs/1103.6065|get preprint from arxiv]] ---- * **22. On separably injective Banach spaces** (with Félix Cabello, Jesús Castillo, Manuel González and Yolanda Moreno), Advances in Mathematics 234 (2013), 192–216. [[http://www.sciencedirect.com/science/article/pii/S0001870812004045|get published paper]] [[http://arxiv.org/abs/1103.6064|get preprint from arxiv]] ---- * **21. Multiple gaps** (with Stevo Todorcevic), Fundamenta Mathematicae 213 (2011), 15-42. [[http://journals.impan.gov.pl/fm/Inf/213-1-2.html|get published paper]] [[http://arxiv.org/abs/1001.4888|get preprint from arxiv]] ---- * **20. The McShane integral in weakly compactly generated spaces** (with Grzegorz Plebanek and José Rodríguez), Journal of Functional Analysis 259, No. 11, 2776-2792 (2010). [[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WJJ-50TYH87-2&_user=1595293&_coverDate=12%2F01%2F2010&_alid=1587491591&_rdoc=1&_fmt=high&_orig=search&_origin=search&_zone=rslt_list_item&_cdi=6880&_sort=r&_st=13&_docanchor=&view=c&_ct=2&_acct=C000053930&_version=1&_urlVersion=0&_userid=1595293&md5=b5844eb6e225b71f69a910ce3617f3db&searchtype=a|get published paper]] [[http://arxiv.org/abs/1001.4896|get preprint from arxiv]] ---- * **19. Slicely Countably Determined Banach spaces** (with Vladimir Kadets, Miguel Martín, Javier Merí and Varvara Shepelska), Transactions of the American Mathematical Society 362, No. 9, 4871-4900 (2010). [[http://www.ams.org/journals/tran/2010-362-09/S0002-9947-10-05038-5/|get published paper]] [[http://arxiv.org/abs/0809.2723|get preprint from arxiv]] ---- * **18. Compact spaces that do not map onto finite products**, Fundamenta Mathematicae 202, No. 1, 81-96 (2009). [[http://journals.impan.gov.pl/fm/|get published paper]] [[http://arxiv.org/abs/1001.4719|get preprint from arxiv]] ---- * **17. Automatic norm continuity of weak* homeomorphisms**, Houston Journal of Mathematics 35, No. 3, 935-943 (2009). [[http://www.math.uh.edu/~hjm/Vol35-3.html|get published paper]] [[http://arxiv.org/abs/0903.0157|get preprint from arxiv]] ---- * **16. Zero subspaces of polynomials on //l//1(Γ)** (with Stevo Todorcevic) Journal of Mathematical Analysis and Applications 350, No. 2, 427-435 (2009) [[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WK2-4PFW6J8-2&_user=10&_coverDate=02%2F15%2F2009&_alid=1178073641&_rdoc=1&_fmt=high&_orig=search&_cdi=6894&_sort=r&_docanchor=&view=c&_ct=1&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0551272f87a3a3a89449fbaa834f8356|get published paper]] [[http://arxiv.org/abs/0903.2374|get preprint from arXiv]] ---- * **15. Fiber orders and compact spaces of uncountable weight** (with Ondrej Kalenda) Fundamenta Mathematicae 204, No. 1, 7-38 (2009). [[http://journals.impan.gov.pl/fm/|get published paper]] [[http://arxiv.org/abs/0903.0657|get preprint from arxiv]] ---- * **14. Some examples of continuous images of Radon-Nikodym compact spaces** (with Alexander Arvanitakis), Czechoslovak Mathematical Journal, 59, No. 4, 1027-1038 (2009). [[http://www.springerlink.com/content/h330g07254r11j76/|get published paper]] [[http://arxiv.org/abs/0903.0653|get preprint from arxiv]] ---- * **13. The number of weakly compact convex subsets of the Hilbert space**, Topology and its Applications 155, No. 15, 1720-1725 (2008) [[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1K-4SRDF3X-1&_user=1595293&_coverDate=09%2F01%2F2008&_alid=1180565380&_rdoc=1&_fmt=high&_orig=search&_cdi=5677&_sort=r&_docanchor=&view=c&_ct=3&_acct=C000053930&_version=1&_urlVersion=0&_userid=1595293&md5=e31ef985574243a297c798502b2bee2a|get published paper]] [[http://arxiv.org/abs/0903.0163|get preprint from arxiv]] ---- * **12. Automorphisms in spaces of continuous functions on Valdivia compacta** (with Yolanda Moreno), Topology and its Applications 155, No. 17-18, 2027-2030 (2008) [[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1K-4S6GRHF-2&_user=1595293&_coverDate=10%2F15%2F2008&_alid=1180565380&_rdoc=3&_fmt=high&_orig=search&_cdi=5677&_sort=r&_docanchor=&view=c&_ct=3&_acct=C000053930&_version=1&_urlVersion=0&_userid=1595293&md5=f12d7366438269e91c6dab52a451132b|get published paper]] [[http://arxiv.org/abs/0903.0658|get preprint from arxiv]] ---- * **11. Weakly countably determined spaces of high complexity**, Studia Mathematica 185, No. 3, 291-303 (2008) [[http://journals.impan.gov.pl/sm/|get published paper]] [[http://arxiv.org/abs/0903.0852|get preprint from arxiv]] ---- * **10. The Schur //l//1 Theorem for filters** (with Bernardo Cascales, Vladimir Kadets and Alexander Leonov), Journal of Mathematical Physics, Analysis, Geometry 3, No 4, p. 383-398 (2007) [[http://jmage.ilt.kharkov.ua/list.php|get published paper]] [[http://arxiv.org/abs/0903.0659|get preprint from arxiv]] ---- * **9. Renormings of the duals of James tree spaces**, Bull. Lond. Math. Soc. 39, No. 2, 221-231 (2007) [[http://blms.oxfordjournals.org/cgi/content/short/39/2/221|get published paper]] [[http://arxiv.org/abs/0903.0158|get preprint from arxiv]] ---- * **8. Linearly ordered Radon-Nikodym compact spaces** Topology and its Applications 154, No. 2, 404-409 (2007) [[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1K-4PNJ1KH-G&_user=1595293&_coverDate=01%2F15%2F2007&_alid=1180565380&_rdoc=2&_fmt=high&_orig=search&_cdi=5677&_sort=r&_docanchor=&view=c&_ct=3&_acct=C000053930&_version=1&_urlVersion=0&_userid=1595293&md5=cfb61aaa6710500fad02e8957fa5367a|get published paper]] [[http://arxiv.org/abs/0903.0160|get preprint from arxiv]] ---- * **7. The number of weakly compact sets which generate a Banach space**, Israel Journal of Mathematics, 159, 189-204 (2007) [[http://www.springerlink.com/content/r57384n4p4852136/|get published paper]] [[http://arxiv.org/abs/0903.0063|get preprint from arxiv]] ---- * **6. The unit ball of the Hilbert space in its weak topology**, Proceedings of the American Mathematical Society 135, No. 3, 833-836 (2007) [[http://www.ams.org/proc/2007-135-03/S0002-9939-06-08527-3/home.html|get published paper]] [[http://arxiv.org/abs/0903.0154|get preprint from arxiv]] ---- * **5. Countable products of spaces of finite sets**, Fundamenta Mathematicae 186, No. 2, 147-159 (2005) [[http://journals.impan.gov.pl/fm/|get published paper]] [[http://arxiv.org/abs/0903.0068|get preprint from arxiv]] ---- * **4. Radon-Nikodym compact spaces of low weight and Banach spaces**, Studia Mathematica 166, No. 1, 71-82 (2005). [[http://journals.impan.gov.pl/sm/|get published paper]] [[http://arxiv.org/abs/1012.5512|get preprint from arxiv]] ---- * **3. Commutative rings with finite quotient fields**, Communications in Algebra 33, No. 3, 727-736 (2005) [[http://www.informaworld.com/smpp/content~db=all?content=10.1081/AGB-200049882|get published paper]] [[http://arxiv.org/abs/0903.2566/|get preprint from arxiv]] ---- * **2. Extensions of Boolean isometries**, Discrete Math. 297, No. 1-3, 1-12 (2005) [[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V00-4GP7PD7-2&_user=1595293&_coverDate=07%2F28%2F2005&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000053930&_version=1&_urlVersion=0&_userid=1595293&md5=e9665d284885f9e4e93cfb834967169b|get published paper]] [[http://arxiv.org/abs/0903.2571|get preprint from arxiv]] ---- * **1. Boolean metric spaces and Boolean algebraic varieties**, Communications in Algebra 32, No. 5, 1805-1822 (2004) [[http://www.informaworld.com/smpp/content~db=all?content=10.1081/AGB-120029903|get published paper]] [[http://arxiv.org/abs/0903.2567|get preprint from arxiv]] ----