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Countably generated space: Difference between revisions

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A topological space is called countable generated if V included in X is closed whenever for each countable subspace U of X V intersect U is closed in U.
A topological space is called countable generated if V included in X is closed whenever for each countable subspace U of X V intersect U is closed in U.


All borel sets are countably generated.
All borel sets are countably generated.


== External link==
* http://thales.doa.fmph.uniba.sk/density/pages/slides/sleziak/paper.pdf


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== external link:==
http://thales.doa.fmph.uniba.sk/density/pages/slides/sleziak/paper.pdf


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Revision as of 01:50, 7 November 2006

A topological space is called countable generated if V included in X is closed whenever for each countable subspace U of X V intersect U is closed in U.

All borel sets are countably generated.