Publications (5)
Sequentially compact separable spaces
Cesar Corral, Alan Dow, Paul Szeptycki
We consider the following variation of the Scarborough-Stone problem: Is always countably compact whenever is separable and sequentially compact?
Fin-intersecting MAD families
Cesar Corral, Vinicius de O. Rodrigues
We introduce a new class of almost disjoint families which we call fin-intersecting almost disjoint families. They are related to almost disjoint families whose Vietoris Hyperspace…
New examples of MAD families with pseudocompact hyperspaces
Cesar Corral, Vinicius de O. Rodrigues
We show that both and imply the existence of MAD families with pseudocompact Vietoris hyperspace, substantially expanding the list of…
High dimensional countable compactness and ultrafilters
Cesar Corral, Pourya Memarpanahi, Paul Szeptycki
We define several notions of a limit point on sequences with domain a barrier in focusing on the two dimensional case . By exploring some natural candidates, w…
Infinite dimensional sequential compactness: Sequential compactness based on barriers
Cesar Corral, Osvaldo Guzman, Carlos Lopez-Callejas +3
We introduce a generalization of sequential compactness using barriers on extending naturally the notion introduced in [W. KubiÅ and P. Szeptycki, On a topological Ramsey the…