Title of article
Hereditary normality-type properties of hyperspaces
Author/Authors
Roman V Kombarov، نويسنده , , A.P.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2010
Pages
4
From page
694
To page
697
Abstract
Let X be a Hausdorff topological space and exp ( X ) be the space of all (nonempty) closed subsets of a space X with the Vietoris topology. We consider hereditary normality-type properties of exp ( X ) . In particular, we prove that if exp ( X ) is hereditarily D-normal, then X is a metrizable compact space.
Keywords
Hyperspace , Vietoris topology , Cartesian Product , Perfect space , Hereditary ?-normality , Hereditary weak normality , Hereditary D-normality , Developable space , Katetov Theorem
Journal title
Topology and its Applications
Serial Year
2010
Journal title
Topology and its Applications
Record number
1582422
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