Difference between revisions of "Paracompact space"
Jump to navigation
Jump to search
m (Reverted edits by Rinse repeat (Talk); changed back to last version by Jaques) |
DavidB4-bot (talk | contribs) (→top: clean up & uniformity) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
| − | 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. | + | 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: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.