# example of paracompact topological spaces

## 0.1 Paracompact space examples

Locally compact Hausdorff spaces that are also $\sigma$-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 ExampleOfParacompactTopologicalSpaces 2013-03-22 18:23:27 2013-03-22 18:23:27 bci1 (20947) bci1 (20947) 8 bci1 (20947) Example msc 55-00 msc 54-00 $\sigma$-compact locally compact Hausdorff spaces second countable Hausdorff locally compact spaces Paracompact LocallyCompactGroupoids LocallyCompactHausdorffSpace