SOME PROPERTIES OF GROWTHS OF UNIFORM SPACES

Abstract

Smirnov Yu.M. such concepts as: "co-covering" and "bordering" are introduced. In many works of Smirnov Yu.M. important statements and theorems are derived that describe the properties of growths of uniform spaces on the basis of the properties of the spaces themselves and vice versa. The scientists also identified important cases of application of such concepts both in general and in some particular cases. These concepts play a key role in modern studies of the properties of outgrowths of uniform spaces. The most basic assertions of the work are briefly summarized below.