Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 75-79
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A. S. Gul'ko. On one sufficient condition for complete regularity of rectifiable spaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 75-79. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a4/
@article{FPM_1998_4_1_a4,
author = {A. S. Gul'ko},
title = {On one sufficient condition for complete regularity of rectifiable spaces},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {75--79},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a4/}
}
TY - JOUR
AU - A. S. Gul'ko
TI - On one sufficient condition for complete regularity of rectifiable spaces
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 75
EP - 79
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a4/
LA - ru
ID - FPM_1998_4_1_a4
ER -
%0 Journal Article
%A A. S. Gul'ko
%T On one sufficient condition for complete regularity of rectifiable spaces
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 75-79
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a4/
%G ru
%F FPM_1998_4_1_a4
Some condition (2) is given which turns out to be equivalent to the following one: some natural family of neighborhoods of the diagonal forms a quasi-uniformity on a given rectifiable space. So every rectifiable space with (2)-property is completely regular. The condition (2) is also useful in proving some other theorems.
