Some realcompact spaces
Alan Dow, Jan van Mill, Klaas Pieter Hart, Hans Vermeer
TL;DR
This paper explores the properties of realcompact spaces, providing examples where certain closed subsets are C*-embedded but not C-embedded, highlighting nuanced differences in embedding properties.
Contribution
It introduces specific examples of realcompact spaces with unique embedding characteristics, including a case involving the natural numbers.
Findings
Existence of realcompact spaces with closed subsets that are C*-embedded but not C-embedded
A particular example where the closed subset is a copy of the natural numbers
Insights into the embedding properties of realcompact spaces
Abstract
We present examples of realcompact spaces with closed subsets that are C*-embedded but not C-embedded, including one where the closed set is a copy of the space of natural numbers.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory