Preprints and publications 



               
       Preprints


  1. Convergent sequences in topological groups,   (joint with   A. Shibakov), Preprint
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  2. Countably compact groups without convergent sequences,   (joint with   J. van Mill, U. A. Ramos García and S. Shelah), Preprint
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  3. Fréchet-like properties and almost disjoint families,   (joint with   C. Corral Rojas), Preprint
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  4. Hereditary Interval Algebras and Cardinal Characteristics of the Continuum,   (joint with  C. Martínez Ranero y U. A. Ramos García), Preprint
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  5. On R-embeddability of almost disjoint families and Akemann-Doner C∗-algebras,   (joint with   O. Guzmán y P. Koszmider), Preprint
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  6. Ramsey theory for highly connected monochromatic subgraphs,   (joint with   J. Bergfalk y S. Shelah), Preprint
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  7. Aplications of Namba forcing to weak partition properties on trees,   (joint with   O. Guzmán and J. Zapletal), Preprint
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  8. Preservation theorems for Namba forcing,   (joint with   O. Guzmán and J. Zapletal), Preprint
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  9. Strong measure zero in Polish groups,   (joint with   O. Zindulka), Accepted in Contemporary Mathematics
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  10. Restricted MAD families,   (joint with   O. Guzmán y O. Téllez), Accepted in Journal of Symbolic Logic
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       Publications


  1. No minimal tall Borel ideal in the Katetov order, (joint with J. Grebík), Fundamenta Mathematicae 248   (2020), no. 2, 135–145.
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  2. Construction with opposition: Cardinal invariants and games, (joint with J. Brendle and V. Torres), Archive for Math Logic 58   (2019), no. 7-8, 943–963.
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  3. Topological properties of incomparable families, (joint with G. Campero, J. Cancino, D. Meza and F. Miranda), Colloquium Mathematicum 156   (2019), 313–323.
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  4. On Pospisil ideal, (joint with O. Guzmán), Topology Appl. 259   (2019), 242–250.
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  5. Preface to the special issue dedicated to the memory of Bohuslav Balcar,   (joint with  D. Chodounský and T. Jech), Comment. Math. Univ. Carolin 59   (2018), no.4, 413-414.
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  6. Topology of Mrówka-Isbell spaces,   (joint with   F. Hernández-Hernández ), In Pseudocompact Topological spaces, M. Hrusak, Á. Tamariz-Mascarúa, M. Tkachenko, eds.,   Springer (2018), 253–289.
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  7. Pseudocompact Topological spaces,   (joint with Á. Tamariz-Mascarúa and M. Tkachenko, eds.), Springer   (2018).
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  8. Scattered spaces from weak diamonds,   (joint with   M. Gaspar and F. Hernández-Hernández ), Israel J. of Math 225   (2018), no. 1, 427–449.
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  9. Open problems on CDH spaces,   (joint with   J. van Mill), Topology Appl. 241   2018), 185–196.
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  10. The existence of a meager in itself CDH metric space is independent of ZFC,   (joint with   J. van Mill), Proceedings of Amer. Math. Soc. 146   (2018), no. 6, 2689-2695.
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  11. Cardinal invariants of strongly porous sets,   (joint with   O. Guzmán and A. Martínez), J. of Analysis and Logic 9   (2017), 1–16 (electronic).
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  12. Ramsey type properties of ideals,   (joint with   D. Meza, E. Thuemmel and C. Uzcátegui), Annals of Pure and Appl. Logic 168   (2017), no. 11, 2022-2049.
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  13. Katetov order on Borel ideals, Archive for Math. Logic 56  (2017), no. 7-8, 831–847.
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  14. Generic existence of MAD families,   (joint with   O. Guzmán, C. Martínez and U. A. Ramos), J. of Symb. Logic 82 © (2017), no. 1, 303-316.
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  15. Canjar filters,   (joint with   O. Guzmán and A. Martínez), Notre Dame Journal of Formal Logic 58   (2017), no. 1, 79-95.
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  16. Strong measure zero sets in Polish groups,   (joint with   J. Zapletal), Ilinois Journal of Mathematics 60   (2016), no. 3-4, 751–760.
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  17. Guest editorial (preface) for the special issue in honor of Alan Dow,   (joint with   J. T. Moore and J. Steprans), Topology Appl. 213   (2016), 1.
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  18. Gruff ultrafilters,   (joint with   D. Fernández Bretón), Topology Appl. 210   (2016), 355-365.
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  19. Incomparable families and maximal trees,   (joint with   G. Campero-Arena, J. Cancino and F. E. Miranda-Perea), Fund. Math. 234   (2016), no.1, 73-89.
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  20. Mathias-Prikry and Laver type forcing; summable ideals, coideals, and +-selective filters,   (joint with   D. Chodounský and O. Guzmán), Archive for Math. Logic 55   (2016), no. 3-4, 493-504.
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  21. Strong measure zero in separable metric spaces and Polish groups,   (joint with   W. Wohofsky and O. Zindulka), Archive for Math. Logic 55   (2016), no.1-2, 105-131.
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  22. Base tree property,   (joint with   B. Balcar and M. Doucha), Order 32   (2015), no.1, 69-81.
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  23. Canjar filters II.,   (joint with   O. Guzmán and A. Martínez), Proceedings of the 2014 RIMS meeting on Reflection principles and set theory of large cardinals, Kyoto, Japan 1895   (2014), 59-67.
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  24. Malykhin's problem,   (joint with   U. A. Ramos García), Advances in Mathematics 262   (2014), 193-212.
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  25. Nearly countable dense homogeneous spaces,   (joint with   J. van Mill), Canadian J. Math. 66   (2014), no. 4, 743-758.
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  26. Addendum to "Nearly countable dense homogeneous spaces",   (joint with   J. van Mill), Canadian J. Math. 66   (2014), no. 4, 759.
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  27. Countable dense homogeneity and $\lambda$-sets,   (joint with   R. Hernández-Gutierrez and J. van Mill), Fund. Math. 226   (2014), no. 2, 157-172.
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  28. Countable irresolvable spaces and cardinal invariants,   (joint with   J. Cancino and D. Meza), Topology Proceedings 44   (2014), 189-196.
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  29. Laver-Prikry and Mathias-Prikry type forcings,   (joint with   H. Minami), Annals of Pure and Applied Logic 165   (2014), no. 3, 880-894.
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  30. Cofinalitites of Borel ideals,   (joint with   D. Rojas and J. Zapletal), Mathematical Logic Quarterly 60   (2014), no. 1-2, 31-39.
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  31. Properties of functions with monotone graphs,   (joint with   O. Zindulka, T. Mátrai, O. Nekvinda and V. Vlasák), Acta Math. Hun. 142   (2014), no. 1, 1-30.
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  32. n-Luzin gaps,   (joint with   O. Guzmán González), Topology and Its Applications 160   (2013), no. 12, 1364-1374.
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  33. Universal submeasures and ideals,   (joint with   D. Meza Alcántara), Questions and Answers in General Topology 31   (2013), 65-69.
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  34. Weak partition properties on trees,   (joint with   P. Simon and O. Zindulka), Archive for Math. Logic 52   (2013), no. 5, 543-567.
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  35. Invariance properties of almost disjoint families,   (joint with   M. Arciga and C. Martínez), Journal of Symb. Logic 78   (2013), no. 3, 989-999.
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  36. Intersection numbers of classes of ideals,   (joint with   C. Martínez Ranero, U. A. Ramos García and O. Téllez Nieto), Archive for Math. Logic 52   (2013), no.3-4, 403-417.
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  37. Almost disjoint families and topology,   In Recent Progress in General Topology III., K. P. Hart, J. van Mill and P. Simon eds., Springer Verlag (2013), 585--622.
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  38. Non-meager P-filters are countable dense homogeneous,   (joint with   R. Hernández), Colloquium Mathematicum 130   (2013), 281-289.
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  39. On strong P-points,   (joint with   A. Blass and J. Verner), Proc. Amer. Math. Soc. 141   (2013), 2875-2883.
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  40. Spaces in which every dense subset is Baire,   (joint with   S. García Ferreira and A. García Maynez ), Houston J. Math. 39   (2013), no. 1, 247-263.
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  41. Katetov order, Fubini property and Hausdorff ultrafilters,   (joint with   D. Meza Alcántara), Rend. Inst. Mat. Univ. Trieste 44   (2012), 503-511.
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  42. Pre-compact Fréchet topologies on Abelian groups,   (joint with   U. A. Ramos García), Topology and Its Applications 159   (2012), no. 17, 3605-3613.
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  43. Spaces of remote points,   (joint with   R. Hernández Gutierrez and A. Tamariz Mascarúa), Topology and Its Applications 159   (2012), no. 13, 3002-3011.
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  44. Luzin gaps are not countably paracompact,   (joint with   S. Gomes da Silva and C. Morgan), Questions and Answers in General Topology 30   (2012), no. 1, 59-66.
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  45. Independent families and resolvability,   (joint with   S. García Ferreira and A. Tamariz Mascarúa), Topology and Its Applications 159   (2012), 1976-1986.
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  46. Cardinal invariants of monotone and porous sets,   (joint with   O. Zindulka), Journal of Symb. Logic 77   (2012), no. 1, 159-173.
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  47. On resolvability and extraresolvability,   (joint with   S. García Ferreira), Topology Proc. 39   (2012), 235-250.
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  48. Adding ultrafilters by definable quotients,   (joint with   J. Verner), Rend. Circ. Mat. di Palermo 60   (2011), no. 3, 445-454.
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  49. Comparison game on Borel ideals,   (joint with   D. Meza Alcántara), Comment. Math. Univ. Carolin. 52   (2011), no. 2, 191-204.
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  50. Combinatorics of filters and ideals,   Contemporary mathematics 533   (2011), no. 8, 29-69.
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  51. Spaces determined by selections,   (joint with   I. Martínez Ruiz), Topology and Its Applications 157   (2010), no. 8, 1448-1453.
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  52. Pair splitting, pair-reaping and cardinal invariants of $F_\sigma$-ideals,   (joint with   D. Meza Alcántara and H. Minami), Journal of Symb. Logic 75   (2010), no. 2, 661-677.
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  53. More on ultrafilters and topological games,   (joint with   R. A. González Silva), Appl. Gen. Top. 10   (2009), no. 2, 207-219.
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  54. Selections and weak orderability,   (joint with   I. Martínez-Ruiz), Fund. Math. 203   (2009), no. 1, 1-20.
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  55. Countable Fréchet groups: An independence result,   (joint with   J. Brendle), Journal of Symbolic Logic 74   (2009), no. 3, 1061-1068.
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  56. Forcing with quotients,   (joint with   J. Zapletal), Arch. Math. Logic 47   (2008), 719-739.
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  57. Ultrafilters and non-Cantor minimal sets in linearly ordered dinamical system,   (joint with   M. Sanchis and A. Tamariz-Mascarúa), Arch. Math. Logic 47   (2008), 193-203.
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  58. El lema del conjunto libre y definibilidad,   (joint with   J.A.Amor and D. Meza-Alcántara), Aportaciones matemáticas, Memorias 37   (2007), 3-9.
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  59. Completely separable MAD families,   (joint with   P. Simon), In Open problems in Topology II   (2007), 179-184.
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  60. Twenty problems in set-theoretic topology,   (joint with  J. T. Moore ), In Open problems in topology II   (2007), 111-113.
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  61. Pseudocompactness of hyperspaces,   (joint with   F. Hernández-Hernández and I. Martínez-Ruiz), Topology Appl. 154   (2007), no 17, 3048-3055.
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  62. Cardinal invariants of analytic $P$-ideals,   (joint with   F. Hernández-Hernández ), Canad. J. Math. 59   (2007), no 3, 575-595.
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  63. Some remarks on non-special coherent Aronszajn trees,   (joint with   C.A. Martínez-Ranero), Acta Univ. Carolin. Math. Phys. 46   (2005), no 2, 33-40.
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  64. On a class of pseudocompact spaces derived from ring epimorphisms ,   (joint with   R. Raphael and R.G. Woods), Topology Appl. 153   (2005), no 4, 541-556.
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  65. $Q$-sets and normality of $\Psi$-spaces ,   (joint with   F. Hernández-Hernández ), Topology Proc. 29   (2005), no 1, 155-165.
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  66. A countable dense homogeneous set of reals of size $\aleph \sb 1$ ,   (joint with   I. Farah and C.A. Martínez Ranero), Fund. Math. 186   (2005), no 1, 71-77.
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  67. Countable dense homogeneity of definable spaces ,   (joint with   B. Zamora-Áviles), Proc. Amer. Math. Soc. 133   (2005), no 11, 3429-3435.
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  68. Distributivity of the algebra of open subsets of $\betaR \setminus R $ ,   (joint with   B. Balcar), Topology and its Aplications 149   (2005), no 1-3, 1-7.
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  69. Ultrafilters, monotone functions and pseudocompacness ,   (joint with   M. Sanchiz and A. Tamariz-Mascarúa), Archive of Mathematical Logic 44   (2005), no 2, 131-157.
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  70. Spaces of continuous functions defined on Mrówka spaces ,   (joint with   P.J. Szeptycki and A. Tamariz-Mascarúa), Topology and its Applications 148   (2005), no 1-3, 239-252.
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  71. Combinatorics of dense subsets of the rationals,  (joint with  B. Balcar and F. Hernández-Hernández ), Fund. Math. 183  (2004), 59-80.
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  72. Parametrized $\diamondsuit$-principles, (joint with J. T. Moore and M. Dzamonja), Transactions of AMS  356  (2004),  2281-2306.
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  73. Ordering MAD families a la Katetov, (joint with S. García Ferreira), Journal of Symbolic Logic  68  (2003),  no. 4, 1337-1353.
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  74. Embeddings into ${\cal P}( N)/fin$ and extension of automorphisms, (joint with A, Bella, A. Dow, K. P. Hart, J. van Mill and P. Ursino),
    Fund. Math. 174  (2002) 271-284.
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  75. Life in the Sacks model, Acta Univ. Carolin. Math. Phys. 42 no. 2  (2001),  43-58.
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  76. Selections on $\Psi$-spaces, (joint with P. J. Szeptycki y  A. H. Tomita), Comment. Math. Univ. Carolin.  42 no. 4 (2001), 763-769.
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  77. MAD families and the rationals, Comment. Math. Univ. Carolin. 42 (2001) 345-352. The paper contains some rather serious errors, see the paper of Brendle and Yatabe for rectification.
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  78. Cardinal invariants related to sequential separability. Axiomatic set theory (Japanese) (Kyoto, 2000), (joint with J. Steprans)
    Surikaisekikenkyusho Kokyuroku No. 1202 (2001), 66-74.
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  79. Cofinitary groups, almost disjoint and dominating families. (joint with J. Steprans and Y. Zhang), Journal of Symbolic Logic 66 (2001), 1259-1276.
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  80. Another $\diamondsuit$-like principle, Fund. Math. 167  (2001), 277-289.
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  81. Selectivity of almost disjoint families, Acta Univ. Carolin. 41 no.2 (2000), 13-21.
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  82. Automorphism groups of complements of points, Acta Univ. Carolin. Math. Physics  35  no. 2,  (1994) 23-31.
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