# Reference results for Paracompact_space from Search.com.

## Paracompact space - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Paracompact_space

In mathematics, a paracompact space is a topological space in which every open cover has an open refinement that is locally finite. These spaces were introduced by ...

## Paracompact Space -- from Wolfram MathWorld

mathworld.wolfram.com/ParacompactSpace.html

A paracompact space is a T2-space such that every open cover has a locally finite open refinement. Paracompactness is a very common property that topological spaces ...

## Talk:Paracompact space - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Talk:Paracompact_space

The definitions section can now be cut back, by referring to the open cover page. Charles Matthews 14:50, 13 Sep 2004 (UTC) "Every metric space (hence, every ...

## paracompact topological space in nLab - ncatlab.org

https://ncatlab.org/nlab/show/paracompact+topological+space

The notion of paracompact space was introduced by Dieudonné in 1944. Often one requires a paracompact space to be Hausdorff as well.

## a-paracompact space - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/A-paracompact_space

In mathematics, in the field of topology, a topological space is said to be a-paracompact if every open cover of the space has a locally finite refinement.

## Paracompact space - Languages - Wikipedia, the free ...

https://en.wikipedia.org/wiki/Special:MobileLanguages/Paracompact...

Paracompact space is available in 14 languages. Return to Paracompact space. Languages. català; Deutsch; español; فارسی; français; italiano; 日本語

## Paracompact space | Article about paracompact space by The ...

encyclopedia2.thefreedictionary.com/Paracompact+space

paracompact space [¦par·ə¦käm‚pakt ‚spās] (mathematics) A topological space with the property that every open covering F is associated with a locally finite ...

## Paracompact space | Dan Ma's Topology Blog | Page 3

https://dantopology.wordpress.com/category/paracompact-space/page/3

Posts about Paracompact space written by Dan Ma ... The theorem indicated by the title is a basic result and is an interesting theorem.

## Talk:A-paracompact space - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Talk:A-paracompact_space

Can anyone give me an example of a space which is not A-paracompact? Thankyou for your help,--Topology Expert 10:30, 6 May 2008 (UTC) Also, what is meant by "this ...

## paracompact space : definition of paracompact space and ...

dictionary.sensagent.com/paracompact space/en-en

Definitions of paracompact space, synonyms, antonyms, derivatives of paracompact space, analogical dictionary of paracompact space (English)