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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Added theorems I searched for two years ago for MSE/4492531 and MSE/4566624 as well as content from the two other answers and the argument by Eric Wofsey on MSE/4209303. (I’ve not linked the former ones due to me having answered there.)
I also added a remark on locally compact as it has two different definitions in literature (compact neighborhood or compact neighborhood base for every point). Just to be sure there is no misunderstanding.
Added english Wikipedia page and π-Base page. (The german Wikipedia page is now also available.) Also added redirect from “hemicompactness”.
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