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Countable spaces, realcompactness, and cardinal characteristics.
- 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
