Hereditary normality-type properties of hyperspaces |
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Authors: | AP Kombarov |
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Institution: | Mechanics-Mathematics Faculty, Moscow State University, 119991 Moscow, Russia |
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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. |
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Keywords: | 54B10 54B20 54D15 54D30 |
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