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wrote out statement and proof that locally compact and sigma-compact spaces are paracompact
I replaced the \backslash’s by \setminus’s, but feel free to revert if you don’t like that.
Just to say that you may feel free to edit the entry.
It’s one of those fine-tuning issues in the definitions of basic topology and somebody made a choice at some point, probably it was me here. But that doesn’t preclude further discussion of alternative approaches to be included, on this page and possibly on other related pages, and to highlight their advantages, if that’s what you feel one should do.
Myself, I have no spare time for this at the moment, so you shouldn’t wait for any comments from me, let alone my approval. But since this is about basic textbook toplogy, nothing here should be controversial and I trust that you and other people who care can make a nice edit to whatever page is in need of such.
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