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Is there a sequence of nested entourages $\{U_n\}$ with $\bigcap U_n=\Delta_X$, if $X$ is compact Hausdorff uniform space

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#general-topology #uniform-spaces
46
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A question regarding 'Uniformization' theorem : connection between a topological space and a uniform spaces

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#general-topology #metric-spaces #uniform-spaces
120
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A uniformity for a space is pseudometrizable iff it has a countable base

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#general-topology #metric-spaces #uniform-spaces
33
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A separated uniformity on a set having more than one point never converges as a filter for its product topology

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#general-topology #filters #uniform-spaces
116
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Show that any compact uniform space (compact for the topology of the uniformity) is complete

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#general-topology #compactness #filters #nets #uniform-spaces
54
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Uniform spaces, Dugundji chapter 9, section 11

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#uniform-spaces
47
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Understanding mapping from space of uniformly spaced points to non-uniformly spaced points

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#general-topology #metric-spaces #parametric #isometry #uniform-spaces
360
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Is every zero-dimensional metrisable space ultrametrisable?

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#general-topology #metric-spaces #uniform-spaces #ultrametric
173
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Intersection of nested open sets in compact Hausdorff space

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#general-topology #compactness #uniform-spaces
29
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A question about normal space and uniform space

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#general-topology #compactness #uniform-spaces
249
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What happened to bornological/uniform spaces?

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#general-topology #functional-analysis #soft-question #math-history #uniform-spaces
71
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Definitions of uniform space

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#general-topology #uniform-spaces
34
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Relation between entourages and finite open covers of compact Hausdorff spaces

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#general-topology #uniform-spaces
377
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Equivalence of metric

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206
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Topology of local uniform convergence

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#general-topology #functional-analysis #uniform-convergence #uniform-spaces

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