example of paracompact topological spaces
0.1 Paracompact space examples
Locally compact Hausdorff spaces that are also -compact (http://planetmath.org/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.
Title | example of paracompact topological spaces |
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Canonical name | ExampleOfParacompactTopologicalSpaces |
Date of creation | 2013-03-22 18:23:27 |
Last modified on | 2013-03-22 18:23:27 |
Owner | bci1 (20947) |
Last modified by | bci1 (20947) |
Numerical id | 8 |
Author | bci1 (20947) |
Entry type | Example |
Classification | msc 55-00 |
Classification | msc 54-00 |
Synonym | -compact |
Synonym | locally compact Hausdorff spaces |
Synonym | second countable Hausdorff locally compact spaces |
Related topic | Paracompact |
Related topic | LocallyCompactGroupoids |
Related topic | LocallyCompactHausdorffSpace |