Papers

Please feel free to contact me for copies of any of the following papers.

Preprints

  • The proximal game and its connection to other games, Coauthor: K. Almontashery, submitted to Topology and its Applications
  • $\Psi$-spaces and semi-proximality} Coauthors: K. Almontashery and V. Rodriguez, submitted to Topology and its Applications.
  • Q-sets, $\Delta$-sets and L-spaces Coauthor: P. Memarpanahi, submitted to Proc. Amer. Math. Soc.
  • Infinitely ludic categories Coauthors: M. Duzi and W. Tholen. Submitted to Canadian Journal of Mathematics.

Recently published papers

  • On open separated sequences Coauthors: A. Bella, N. Carlson, S. Spadaro. Accepted to Acta Mathematica Hungerica. (2025). https://doi.org/10.1007/s10474-025-01553-z
  • A note on preimages of countable to one continuous maps, Coauthor: A. Liederman, accepted to Topology Proceedings.
  • Covering a space with a small number of countably tight subspaces, Coauthor S. Spadaro, Accepted for publication in Revista de la Real Academia de Ciencias Exactas Volume 119, article number 49, (2025)
  • High dimensional countable compactness and ultrafilters} Coauthors: C. Corral, P. Memarpanahi. Accepted to Journal of Symbolic Logic. DOI: https://doi.org/10.1017/jsl.2025.27
  • Semi-proximal spaces and normality Coauthor: Khulod Almontashery. Topology and its Applications Volume 354
    , 1 September 2024.
  • Infinite dimensional sequential compactness: Sequential compactness based on barriers, Coauthor: Cesar Corral, O. Guzman, C. Lopez-Callejas, P. Memarpanahi, S. Todorcevic. Canadian Journal of Mathematics DOI: https://doi.org/10.4153/S0008414X24000646
  • A proof of the tree alternative conjecture for the topological minor relation, Coauthor: Jorge Bruno, Journal of Combinatorial Theory, Series B. Volume 163, November 2023, Pages 219-232
  • On $\Delta$-spaces Coauthor: Arkady Liederman, to appear in Israel Journal of Mathematics DOI https://doi.org/10.1007/s11856-025-2733-2
  • Finite betweenness relational structures are not Fraisse Coauthor: Stanslav Baltchev, Sarajevo Journal of Mathematics v19 no 1 (2023) 1-5.
  • Special sets of reals and weak forms of normality in Isbell-Mrowka spaces Coauthors: V. Rodriguez and V. Ronchim, Comm. Math. Univ. Carol. vol. 64, no. 1 (2023), pp. 109-126.
  • Strong Fr\'echet properties of spaces constructed
    from squares and AD families Coauthors: W. Chen-Mertens and C. Corral-Rojas, Applied General Topology Vol 24, No 2, (2023) pp. 379-389.

  • On a topological Ramsey theorem Coauthor: Wieslaw Kubis. Canadian Mathematical Bulletin, 1-10. doi:10.4153/S0008439522000170
  • The Tree Alternative Conjecture Under the Topological Minor Relation}, Coauthor: J. Bruno. The Electronic Journal of Combinatorics. Volume 29, Issue 1 (2022)
    DOI: https://doi.org/10.37236/10556
  • A regular non-weakly discretely generated P-space, Coauthor S. Spadaro. Acta Mathematica Hungarica, 166}, 92–96 (2022)
  • Weak normality properties in $\Psi$-spaces Coauthor Sergio Garcia-Balan. Fund. Math. 258 (2022) no.2, 137-151
  • There are exactly $\omega_1$ topological types of locally finite trees with countably many rays, Coauthor J. Bruno. Fundamenta Mathematicae, Oct 2021, https://doi.org/10.4064/fm54-4-2021
  • A regular non-weakly discretely generated P-space Coauthor S. Spadaro. Accepted to Acta Mathematica Hungarica.
  • Selectivity properties of spaces William Chen-Mertens, W. To appear,
    Topology Proceedings.
  • The effect of forcing axioms on the tightness of the G-delta modification, William Chen-Mertens, to appear in Fundamenta Mathematicae.
  • Uniformization properties of ladder systems under MA(S), Cesar Corral- Rojas, Szeptycki P. Fundamenta Mathematicae, 249 (2020) , 37-45.
  • Some results on star selection principles J. Casas de la Rosa,
    S. Garcia Balan. Topology Appl. 258 (2019), 572-587.