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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]] 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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====Comments====
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====References====
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<table>
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  E. Čech,  "Topological spaces" , Interscience  (1966)  pp. 532</TD></TR>
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</table>
  
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[[Category:General topology]]
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====References====
 
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<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  E. Čech,  "Topological spaces" , Interscience  (1966)  pp. 532</TD></TR></table>
 

Latest revision as of 09:30, 16 April 2023

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

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=14531
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