P. Szeptycki

activity

20232025

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Showing 2024Show all

2 papers · 1 filter

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 $[ω]^{< ω}$ focusing on the two dimensional case $[ω]^{2}$ . By exploring some natural candidates, we s…

math.GN2024

A regular non-weakly discretely generated P-space

Santi Spadaro, Paul Szeptycki

We construct a consistent example of a topological space $Y = X \cup {\infty}$ such that: 1) $Y$ is regular. 2) Every $G_{δ}$ subset of $Y$ is open. 3) The point $\infty$ is not isol…