ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 68,   1   (1999)
F. G. ARENAS
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.
AMS subject classification.
54F05; Secondary 54D10, 54E15, 54E05
Alexandroff spaces, quasi-uniform spaces, homotopy, space of\break functions
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