Points of openness of some mappings
Filomat, Tome 35 (2021) no. 15, p. 5209
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Let X and Y be topological spaces and f : X → Y be a continuous function. We are interested in finding points of X and Y at which f is open. We will show that if X is developable, the set of points of openness of f in X is a G δ subset of X. If X is developable and f is closed, then the set of points of openness of f in Y is a G δ subset of Y. These will extend some results of S. Levi
Classification :
54C10, 46T20
Keywords: Continuous function, open function, quasicontinuous function, closed function, developable space
Keywords: Continuous function, open function, quasicontinuous function, closed function, developable space
Ĺubica Holá; Alireza Kamel Mirmostafaee. Points of openness of some mappings. Filomat, Tome 35 (2021) no. 15, p. 5209 . doi: 10.2298/FIL2115209H
@article{10_2298_FIL2115209H,
author = {\'Lubica Hol\'a and Alireza Kamel Mirmostafaee},
title = {Points of openness of some mappings},
journal = {Filomat},
pages = {5209 },
year = {2021},
volume = {35},
number = {15},
doi = {10.2298/FIL2115209H},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115209H/}
}
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