FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 75-79

On one sufficient condition for complete regularity of rectifiable spaces

A. S. Gul'ko

Abstract

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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.

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Last modified: April 8, 1998