16 citations · 34 across the 18 of their papers we have counts for
21 papers
Countable compactness in powers of topological groups and Ramsey theoretic variations of compactness
Vinicius de Oliveira Rodrigues, Paul Jan Szeptycki, Artur Hideyuki Tomita
Countable compactness need not be preserved by finite products. Motivated by compactness notions for maps indexed by finite subsets of , we introduce cascade countable compactne…
Semi-proximal spaces and normality
Khulod Almontashery, Paul Szeptycki
We consider the relationship between normality and semi-proximality. We give a consistent example of a first countable locally compact Dowker space that is not semi-proximal, and t…
A Proof of the Tree Alternative Conjecture Under the Topological Minor Relation
Jorge Bruno, Paul Szeptycki
We prove the Tree Alternative Conjecture for the topological minor relation: letting denote the equivalence class of under the topological minor relation we show that: $|…
Special sets of reals and weak forms of normality on Isbell-Mrówka spaces
Vinicius Rodrigues, Victor dos Santos Ronchim, Paul Szeptycki
We recall some classical results relating normality and some natural weakenings of normality in -spaces over almost disjoint families of branches in the Cantor tree to special s…
On a topological Ramsey Theorem
Wiesław Kubiś, Paul Szeptycki
We introduce natural strengthenings of sequential compactness called the -Ramsey property for each natural number . We prove that metrizable compact spaces are -Rams…
Weak normality properties in -spaces
Sergio A, Garcia-Balan, Paul J. Szeptycki
Almost disjoint families of true cardinality are used to produce an example of a mildly-normal not partly-normal -space and a quasi-normal not almost-normal -s…