Recent papers (not yet published)
A game and its relation to netweight and D-spaces
Coauthor: Gary Gruenhage
We introduce a two player topological game and study the relationship
of the existence of winning strategies to base properties and covering
properties of the underlying space.
A counterexample in the theory of D-spaces
Coauthor: Daniel Soukup
we construct a consistent example of a Hausdorff, hereditarily Lindelof space that is not a D-space.
Recently published papers
Normality in products with a countable factor
Topology and its Applications
Volume 157, Issue 9, 15 June 2010, Pages 1622-1628.
Realcompactness in maximal and submaximal spaces
Coauthors: F. Hernandez-Hernandez, O.Pavlov and A.Tomita.
Topology and its Applications 154 (2007) 2997Ð3004
Frechet Urysohn for finite sets, II
Coauthor: Gary Gruenhage
Topology and its Applications, 154 (2007), 2856--2872.
A Dowker space from a club guessing principle.
Coauthor: Fernando Hernandez-Hernandez
Topology Proceedings Volume 34, 2009
Pages 351-363
Other published papers
For a copy of any of the following papers please email szeptyck@yorku.ca
- Transversals of almost disjoint families
Proceedings of the American Mathematical Society 135 (2007) 2273-2282.
- On some classes of Lindelof Sigma-spaces
Coauthors: Wieslaw Kubis and Oleg Okunev,
Topology and its Applications 153 (2006) 2574-2590
- Spaces of continuous functions defined on Mrowka spaces
Coauthors: Michael Hrusak and Angel Tamariz-Mascarua.
Topology and its Applications 148 (2005) pp. 239-252.
- Countable paracompactness in sigma-products Coauthor: Nobuyuki Kemoto
Topology and its Applications, 149 (2005) 259-271.
- Frechet-Urysohn for finite SetsCoauthor: G.Gruenhage.
Topology and its Applications 151 (2005) 238-259
- Uniformization and anti-uniformization properties of ladder systems Coauthors: Z.Balogh, T.Eisworth, G.Gruenhage and O.Pavlov Fundamenta Mathematicae 181 (2004) 189-213.
- Topological properties of products of ordinals Coauthor: N.Kemoto Topology and its Applications 143 (2004) 257-277.
- Soft almost disjoint families. Proceedings of the American Mathematical Society 130 (2002) 3713-3717.
- kappa-normality in products of ordinals, Coauthor: Lutfi Kalantan. Topology and its Applications 123 (2002) 537-545.
- Selections on Psi-spaces. Coauthors: M. Hrusak, A.H. Tomita. Commentationes Mathematicae Universitatis Carolinae 42 (2001) 763-769.
- A beta-normal non-normal space. Coauthor: Lew Ludwig. Topology Proceedings 25 (2000) 251-254.
- Strongly almost disjoint sets and weakly uniform bases. Coauthors: Z. Balogh, S. Davis, W. Just, and S. Shelah. Transactions of the American Mathematical Society 352 number 11, 4971-4987.
- Some games related to perfect spaces. Coauthor: M. Scheepers. East West Journal of Mathematics, 2 (2000) 85-107.
- Countable paracompactness versus normality in omega_1 x omega_1. Coauthors: N. Kemoto, K.D. Smith, Topology and its Applications, 104 (2000) 141-154.
- Paranormal first countable spaces under diamond*. Coauthor: K.D. Smith, Proceedings of the American Mathematical Society 128 (2000) 903-908.
- Sharp bases and weakly uniform bases versus point countable bases. Coauthors: A.V. Arhangel'skii, W. Just, A.E. Reznichenko, Topology and its Applications 100 (2000) 39-46.
- Some results on property (a). Coauthors: W. Just, M. Matveev, Topology and its Applications, 100 (2000) 67-84.
- Almost disjoint families and property (a). Coauthor: J.E. Vaughan, Fundamenta Mathematicae 158 (1998) 229-240.
- G-delta sets in topological spaces and games. Coauthors: W. Just, M. Scheepers, J. Steprans, Fundamenta Mathematicae 153 (1997) 41-58.
- Tightness in compact subspaces of function spaces. Coauthor: A.V. Arhangel'skii, Houston Journal of Mathematics 23 (1997).
- Paranormal spaces in the constructible universe. Topology Proceedings 21 (1996)221-238.
- When X* is a P'-space. Coauthor: M.E. Swardson, Canadaian Mathematical Bulletin39 (1996) 476-485.
- The combinatorics of open covers, II. Coauthors: W.Just, A.W.Miller, M. Scheepers, Topology and its Applications 73 (1996) 241-266.
- Nonnormal spaces Cp(X) with countable extent. Coauthors: W.Just, O.Sipacheva,Proceedings of the American Mathematical Society 124 (1996) 1227-1235.
- Weak normality in Dowker spaces Topology Proceedings 20 (1995) 289-296.
- Uncovering separation properties in the Easton model Topology Proceedings 19(1994) 307-319.
- A Dowker space from a Lusin set Topology and its Applications 58(1994) 173-179.
- Countable metacompactness in psi-spaces Proceedings of the American Mathematical Society 120 (1994) 1241-1246.