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Prelegent(ci): Lyubomyr Zdomskyy
Afiliacja: Technische Universit¨at Wien
Termin: 22 maja 2024 16:15
Informacje na temat wydarzenia: This is an online talk. The link to the ZOOM seminar meeting will be send later.
Seminarium: Seminarium „Topologia i teoria mnogości”

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