C. Corral

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math.GN2025

Sequentially compact separable spaces

Cesar Corral, Alan Dow, Paul Szeptycki

We consider the following variation of the Scarborough-Stone problem: Is $X^{I^} º$ always countably compact whenever $X$ 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 $[I ¨ ]^{< I ¨ }$ focusing on the two dimensional case $[I ¨ ]^{2}$ . By exploring some natural candidates, w…