strongly paracompact space
A collection of sets is said to be star-finite if each member of meets only finitely many members of .
A topological space is said to be strongly paracompact if every open cover of has a star-finite open refinement.
A star-finite open cover of a topological space is clearly locally finite. Therefore, every strongly paracompact space is paracompact (as the name suggests).
Title | strongly paracompact space |
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Canonical name | StronglyParacompactSpace |
Date of creation | 2013-03-22 17:09:01 |
Last modified on | 2013-03-22 17:09:01 |
Owner | yark (2760) |
Last modified by | yark (2760) |
Numerical id | 5 |
Author | yark (2760) |
Entry type | Definition |
Classification | msc 54D20 |
Synonym | strongly paracompact topological space |
Defines | strongly paracompact |
Defines | star-finite |
Defines | star finite |