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Set-Theoretic Topology

Paul Szeptycki

Subevent of Set-Theoretic Topology - Fri. AM

Forbes 2070C

Eastern Time (US & Canada)

Starts at: 2025-03-07 10:40AM

Ends at: 2025-03-07 11:00AM

Some recent results on Δ-spaces

Paul Szeptycki ⟨szeptyck@yorku.ca⟩

Abstract:

A Δ-space is a Tychonoff space with the property that every partition of the space (into arbitrary sets) has a point finite open expansion. M. Reed defined a set of reals with this property to be a Δ-set and was motivated by the characterization of a Δ-set as those sets of reals X for which the Moore plane over X is countably paracompact. Recently, Leiderman and Kąkol characterized Δ-spaces as those X for which the locally convex space Cp(X) is distinguished. I will survey some recent results concerning Δ-spaces and mention a number of open problems.

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