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[parent] example of paracompact topological spaces (Example)

Paracompact Space Examples

Locally compact Hausdorff spaces that are also $ \sigma$-compact can be shown to be paracompact, and, therefore, also normal. Other particular cases of paracompact spaces are those of locally compact Hausdorff spaces, second countable Hausdorff locally compact spaces, and their related locally compact groupoids.



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See Also: paracompact topological space, locally compact groupoid, locally compact Hausdorff space

Other names:  $\sigma$-compact, locally compact Hausdorff spaces
Keywords:  paracompact topological space examples, locally compact Hausdorff spaces which are sigma-compact

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Cross-references: locally compact groupoids, locally compact, Hausdorff, second countable, paracompact spaces, normal, paracompact
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This is version 3 of example of paracompact topological spaces, born on 2008-09-15, modified 2008-09-17.
Object id is 11036, canonical name is ExampleOfParacompactTopologicalSpaces.
Accessed 291 times total.

Classification:
AMS MSC54-00 (General topology :: General reference works )
 55-00 (Algebraic topology :: General reference works )

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