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Locally compact space

In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space. More precisely, it is a topological space in which every point has a compact neighborhood.

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Locally compact space

Nodes100
Edges99
Triples29
Avg. degree1.98
Density0.02
Components1

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Locally compact space

Top relations

related to Locally compact Hausdorff spaces that are not compact · 14
Locally compact space → All, Borel, Cantor, Euclidean, Hausdorff, Heine, Qp, Rn, The, The Euclidean, These, This, Thus, Topological
related to The point at infinity · 9
Locally compact space → But, Every, Hausdorff, Since, So, Stone, The, This, Tychonoff
see also · 4
Locally compact space → Compact, Riesz's, Topological, Type

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Important terminology

compact locally hausdorff space spaces every point displaystyle set topological closed open topology also senses condition regular called examples subsets

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the long line.All discrete spaces are locally compactinstance ofThis even includes nonparacompact manifolds0.80text
Hausdorffinstance ofThis even includes nonparacompact manifolds0.80text
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactThe Euclidean0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactRn0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactHeine0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactBorel0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactTopological0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactEuclidean0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactThis0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactAll0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactHausdorff0.60section
Locally compact spacerelated to Locally compact Hausdorff spaces that are not compactThese0.60section

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