Difference between revisions of "Paracompact space"
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| − | A paracompact space is a Hausdorff [[topological space]] in which every [[open cover]] admits an open locally finite refinement. | + | A '''paracompact space''' is a Hausdorff [[topological space]] in which every [[open cover]] admits an open, locally finite refinement. Example of paracompact space include [[metric space]], locally compact second-countable space, and regular Lindelöf space. |
| − | [[Category: | + | |
| + | [[Category:Topology]] | ||
Latest revision as of 17:12, July 13, 2016
A paracompact space is a Hausdorff topological space in which every open cover admits an open, locally finite refinement. Example of paracompact space include metric space, locally compact second-countable space, and regular Lindelöf space.
