Matematičeskie zametki, Tome 19 (1976) no. 6, pp. 863-869
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V. V. Pashenkov. Structure of continuous functions of a completely regular space. Matematičeskie zametki, Tome 19 (1976) no. 6, pp. 863-869. http://geodesic.mathdoc.fr/item/MZM_1976_19_6_a5/
@article{MZM_1976_19_6_a5,
author = {V. V. Pashenkov},
title = {Structure of continuous functions of a~completely regular space},
journal = {Matemati\v{c}eskie zametki},
pages = {863--869},
year = {1976},
volume = {19},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_6_a5/}
}
TY - JOUR
AU - V. V. Pashenkov
TI - Structure of continuous functions of a completely regular space
JO - Matematičeskie zametki
PY - 1976
SP - 863
EP - 869
VL - 19
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_6_a5/
LA - ru
ID - MZM_1976_19_6_a5
ER -
%0 Journal Article
%A V. V. Pashenkov
%T Structure of continuous functions of a completely regular space
%J Matematičeskie zametki
%D 1976
%P 863-869
%V 19
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_6_a5/
%G ru
%F MZM_1976_19_6_a5
It is proved that any completely regular topological space is determined up to homeomorphism by the topological lattice (with the topology of pointwise convergence) of all its continuous real-valued functions. The well-known result of Kaplansky (for compact spaces) is a corollary of this theorem.
