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Is there an entorage $N\subseteq \{(x, y): d(x, y)<\delta\}$ in an uniformity of locally compact metric space $(X, d)$?

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#uniform-spaces
27
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Is there a proper set in a locally compact, paracompact uniform space?

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#uniform-spaces
183
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Relation Between Nbhd Base at $e$ and the Uniform Structure on a Topological Group

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#topological-groups #topological-vector-spaces #uniform-spaces
362
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Are metrics uniformly equivalent if and only if they have the same zero-distance sets?

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#general-topology #metric-spaces #examples-counterexamples #uniform-spaces #equivalent-metrics
215
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Hausdorff completion of uniform spaces

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#general-topology #uniform-spaces
109
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Question about neighborhood of diagonal of a topological space

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#general-topology #uniform-spaces
60
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Uniform Isomorphism

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#general-topology #uniform-continuity #uniform-spaces
290
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Homeomorphic spaces are uniformly isomorphic

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#general-topology #examples-counterexamples #uniform-continuity #uniform-spaces
317
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Why are uniform spaces important?

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#general-topology #functional-analysis #soft-question #topological-groups #uniform-spaces
68
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Question on the Proof to the Pseudometrization Lemma for (Quasi) Uniform Spaces

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#general-topology #uniform-spaces
139
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Quasi-uniform spaces are not regular in general; where does this argument fail?

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#general-topology #uniform-spaces
111
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Every uncountable compact uniform space has a nonatomic measure?

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#functional-analysis #measure-theory #uniform-spaces
129
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Covering characterization of Metrizability and Paracompactness

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#general-topology #uniform-spaces #paracompactness #metrizability
40
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Uniquely Promoting a TVS over the Rationals to a TVS over the Reals

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#general-topology #functional-analysis #uniform-spaces
509
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Why coarse maps have to be proper?

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#metric-spaces #uniform-continuity #geometric-group-theory #uniform-spaces

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