Discrete Sets and Discrete Maps
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 242-244
Voir la notice de l'article provenant de la source Cambridge University Press
A subset of a topological space is called discrete iff every point in the space has a neighborhood which meets the set in at most one point. Discrete sets are useful for decomposing the images of certain maps and for generalizing closed maps. All discrete sets are closed iff the space is T 1. As a result of characterizing discrete and countably discrete maps, theorems due to Vaĭnšteĭn and Engelking are extended to these maps.
Mots-clés :
54C10, 54A25, discrete set, countably discrete set, generalizations of closed map
Warren, Richard H. Discrete Sets and Discrete Maps. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 242-244. doi: 10.4153/CMB-1982-035-2
@article{10_4153_CMB_1982_035_2,
author = {Warren, Richard H.},
title = {Discrete {Sets} and {Discrete} {Maps}},
journal = {Canadian mathematical bulletin},
pages = {242--244},
year = {1982},
volume = {25},
number = {2},
doi = {10.4153/CMB-1982-035-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-035-2/}
}
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