Geodesic
ALEXANDROFF SPACES
Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 1 
F. G. Arenas. ALEXANDROFF SPACES. Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a1/
@article{AMUC_1999_68_1_a1,
     author = {F. G. Arenas},
     title = {ALEXANDROFF {SPACES}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1999},
     volume = {68},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a1/}
}
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TI  - ALEXANDROFF SPACES
JO  - Acta mathematica Universitatis Comenianae
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UR  - http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a1/
ID  - AMUC_1999_68_1_a1
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%J Acta mathematica Universitatis Comenianae
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%N 1
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Voir la notice de l'article provenant de la source Comenius University

In this paper we mean by an Alexandroff space a topological space such that every point has a minimal neighborhood. We do not assume that the space is $T_0$. There spaces were first introduced by P. Alexandroff in 1937 in Ref. 1 and have become relevant for the study of digital topology. We make a systematic study of them from several points of view, including quasi-uniform spaces.