example of paracompact topological spaces


0.1 Paracompact space examples

Locally compact Hausdorff spacesPlanetmathPlanetmath that are also σ-compactPlanetmathPlanetmath (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 groupoidsPlanetmathPlanetmath.

Title example of paracompact topological spaces
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 σ-compact
Synonym locally compact Hausdorff spaces
Synonym second countable Hausdorff locally compact spaces
Related topic Paracompact
Related topic LocallyCompactGroupoids
Related topic LocallyCompactHausdorffSpace