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Answer by Peter Scholze for Uniform spaces as condensed sets
Here is an essentially tautological answer. The notion of uniformity makes sense also for condensed sets -- it is a condensed set $X$ together with certain subsets $U\subset X\times X$ termed...
View ArticleAnswer by Dustin Clausen for Uniform spaces as condensed sets
I think there are a few things to untangle here.First, as concerns your highlighted question, it seems that you've answered it yourself: outside the compact Hausdorff case (where the uniform structure...
View ArticleUniform spaces as condensed sets
$\DeclareMathOperator\Hom{Hom}\DeclareMathOperator\Unif{Unif}\DeclareMathOperator\CHaus{CHaus}\DeclareMathOperator\Set{Set}\DeclareMathOperator\op{op}\DeclareMathOperator\Ind{Ind}\DeclareMathOperator\F...
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