Vietoris topology on spaces dominated by second countable ones

For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂ FL for any K;L ∈ C(M). A space X is strongly...

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Bibliographic Details
Main Authors: Islas Carlos, Jardon Daniel
Format: Article
Language:English
Published: De Gruyter 2015-01-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2015-0018