Add realcompactification of Rudin's space and basic properties #1153
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It seems that you forgot to add ~T5. |
yhx-12243
reviewed
Dec 24, 2024
yhx-12243
reviewed
Dec 24, 2024
yhx-12243
reviewed
Dec 24, 2024
Co-authored-by: yhx-12243 <[email protected]>
Yes, although #1135 is still open, so I'm not sure if I want to add this in this PR |
…data into realcomp-of-rudin-space
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I thought "realcompactification" always refers to Hewitt realcompactification. Is there another one? If not, the shorter name "Realcompactification of Rudin's Dowker space" would be better. |
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@prabau Just as "compactification" doesn't always refer to Stone-Cech compactification, similarly "realcompactification" doesn't always refer to Hewitt realcompactification. |
yhx-12243
reviewed
Jan 8, 2025
yhx-12243
reviewed
Jan 8, 2025
Co-authored-by: yhx-12243 <[email protected]>
Co-authored-by: yhx-12243 <[email protected]>
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See #1139
While I'm not confident about Rudin's original proof that this space is ultraparacompact, I am confident that it is ultraparacompact. See those notes by K. P. Hart (maybe I should add those as a reference?).