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Results tagged with realcompact-spaces
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user 5903
1
vote
Accepted
Mysior plane is not realcompact
The proof that I can think of applies a Baire-category argument to the normal topology of the real line.
As in your argument for realcompactness you need to look at zero-sets that are subsets of the $ …
- 11.4k
8
votes
Accepted
Reference: If $X$ is metrizable, then $X$ is realcompact iff $|X|$ is non-measurable
You can consult Problem 8.5.13 in Engelking's General Topology. It deals with Dieudonné complete spaces (Tychonoff spaces that have a complete uniformity).
Part (d) shows that every paracompact space …
- 11.4k