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Speaker(s): Lyubomyr Zdomskyy
Affiliation: Technische Universit¨at Wien
Date: May 22, 2024, 4:15 p.m.
Information about the event: This is an online talk. The link to the ZOOM seminar meeting will be send later.
Seminar: Topology and Set Theory Seminar

In this talk we shall analyze the realcompactness number of countable spaces.

In particular, we plan to show that for a cardinal \kappa, there exists a countable Tychonoff space X

without isolated points such that Exp(X)=\kappa if and only if p \leq \kappa \leq c.

Here for a realcompact space X we denote by Exp(X) the minimal cardinality

\lambda such that X can be embedded as a closed subspace into R^\lambda.

This is a joint work with Claudio Agostini and Andrea Medini available at https://arxiv.org/abs/2310.<wbr></wbr>17984

Countable spaces, realcompactness, and cardinal characteristics.