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Uniform spaces as condensed sets
$\DeclareMathOperator\Hom{Hom}\DeclareMathOperator\Unif{Unif}\DeclareMathOperator\CHaus{CHaus}\DeclareMathOperator\Set{Set}\DeclareMathOperator\op{op}\DeclareMathOperator\Ind{Ind}\DeclareMathOperator\F...
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 ArticleAnswer 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...
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