Timeline for Ostaszewski space's construction Lemma
Current License: CC BY-SA 3.0
3 events
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| Aug 22, 2014 at 1:43 | comment | added | Joseph Van Name | You don't need to use one of the special metrization theorems since we are dealing with locally compact spaces. In particular, a locally compact space is metrizable if and only if it can be written as a disjoint union of second countable spaces (this little result follows easily from the fact that metric spaces are paracompact and every paracompact locally compact space is a disjoint union of $\sigma$-compact spaces). Also, it does not seem too difficult to show that this space is a disjoint union of second countable spaces using the fact that $X$ space is locally compact and metrizable. | |
| Aug 21, 2014 at 3:45 | history | edited | user46747 | CC BY-SA 3.0 |
added 363 characters in body
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| Aug 21, 2014 at 2:26 | history | asked | user46747 | CC BY-SA 3.0 |