3 papers
math.GN2025
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?
math.GN2024
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, we s…
math.GN2023
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…