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Answer by Alexander Heyes for Understanding a proof about nested nonempty...
1) We have some fiddley-ness at the start to get $U, V$ disjoint. It's a bit long, so see Disjoint compact sets in a Hausdorff space can be separatedThis is possible because the space is Hausdorff...
View ArticleUnderstanding a proof about nested nonempty connected compact subsets
I know this question has asked to death here on MSE but I have not found a satisfactory solution. A solution found online is extremely elegant but I do not quite understand it!Given nested sequence of...
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