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meager (Definition)

A meager or Baire first category set in a topological space is one which is a countable union of nowhere dense sets. A Baire second category set is one which contains a countable union of open and dense sets.




"meager" is owned by Koro.
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See Also: Baire category theorem

Other names:  meagre, first category, second category

Attachments:
example of a meager set (Example) by Wkbj79
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Cross-references: dense sets, open, contains, nowhere dense, union, countable, topological space
There are 13 references to this entry.

This is version 5 of meager, born on 2002-12-07, modified 2006-11-01.
Object id is 3680, canonical name is Meager.
Accessed 8089 times total.

Classification:
AMS MSC54E52 (General topology :: Spaces with richer structures :: Baire category, Baire spaces)

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