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| Title of object: |
example of paracompact topological spaces |
| Canonical Name: |
ExampleOfParacompactTopologicalSpaces |
| Type: |
Example |
| Created on: |
2008-09-15 18:22:46 |
| Modified on: |
2008-09-17 13:30:26 |
| Classification: |
msc:54-00, msc:55-00 |
| Keywords: |
paracompact topological space examples, locally compact Hausdorff spaces which are sigma-compact |
| Synonyms: |
example of paracompact topological spaces=$\sigma$-compact
example of paracompact topological spaces=locally compact Hausdorff spaces |
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Content:
\subsection{Paracompact Space Examples}
Locally compact Hausdorff spaces that are also
\PMlinkname{$\sigma$-compact}{AlternativeDefinitionOfSigmaFiniteMeasure} 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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