Timeline for Are open subsets of a $\sigma$-compact LCH space $\mathcal{K}$-analytic?
Current License: CC BY-SA 4.0
5 events
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| Oct 8, 2021 at 5:12 | comment | added | Robert Furber | To reinforce what user95282 is saying, a Hausdorff K-analytic space is Lindelöf (see Fremlin's Measure Theory, volume 4, Theorem 422G (g)). Therefore a discrete space is K-analytic iff it is countable. So the one-point compactification of an uncountable discrete space is a counterexample. | |
| Sep 10, 2021 at 18:28 | history | edited | Carlos Esparza | CC BY-SA 4.0 |
edited title
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| Sep 10, 2021 at 14:53 | comment | added | user95282 | Every locally compact space is an open subset of a compact space. And some locally compact (or even discrete) spaces are not K-analytic. Perhaps Guedj and Zeriahi assume that their spaces are metrizable? | |
| Sep 10, 2021 at 7:54 | history | edited | Carlos Esparza | CC BY-SA 4.0 |
added 217 characters in body
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| Sep 10, 2021 at 7:21 | history | asked | Carlos Esparza | CC BY-SA 4.0 |