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Difference between revisions of "Perfectly-normal space"

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A [[Normal space|normal space]] in which every closed subset is a <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072120/p0721201.png" />-set (cf. [[Set of type F sigma(G delta)|Set of type <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072120/p0721202.png" /> (<img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072120/p0721203.png" />)]]).
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A [[Normal space|normal space]] in which every closed subset is a $G_\delta$-set (cf. [[Set of type F sigma(G delta)|Set of type $F_\sigma$ ($G_\delta$)]]).
  
 
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Revision as of 14:30, 26 September 2014

A normal space in which every closed subset is a $G_\delta$-set (cf. Set of type $F_\sigma$ ($G_\delta$)).

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References

[a1] E. Čech, "Topological spaces" , Interscience (1966) pp. 532
How to Cite This Entry:
Perfectly-normal space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Perfectly-normal_space&oldid=33390
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