Add to ORKGCardinal invariants of uniform spaces with applications to topological group theory have been considered in the paper. The investigation of uniform space various properties with the help of cardinal invariants and the interrelation search of topological and uniform cardinal invariants are the aim of the paper as well as the investigation of uniform cardinal invariants on uniformities of topological groups. As a result interrelations between some topological and uniform cardinal invariants have been found. The construction of O. Okunev has been carried over to free topological groups of uniform spaces. The spectral characteristics of some classes of tau -complete topological groups have been given. The tau -completeness of uniform space expo...
We define a uniform version of analytic K-homology theory for separable, proper metric spaces. Furth...
[EN] A uniform space X is said to be proximally fine if every proximally continuous function defined...
AbstractIn this paper the concept of property ω-U is introduced in topological groups. The main resu...
[EN] A systematic analysis is made of the character of the free and free abelian topological groups ...
A systematic analysis is made of the character of the free and free abelian topological groups on un...
The character of free topological groups I A systematic analysis is made of the character of the fre...
summary:Relative versions of many important theorems on cardinal invariants of topological spaces ar...
[EN] In this paper we introduce and study three new cardinal topological invariants called the cs∗-...
AbstractWe prove that if the bilateral uniformity B of a topological group of pointwise countable ty...
In this paper we introduce and study three new cardinal topological invariants called the cs∗-, cs-,...
AbstractThe topological embedding of a topological semigroup S, commutative with the property of can...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
Abstract. Let ωµ be an uncountable regular cardinal. For a Tychonoff space X, we let A(X) and F (X) ...
AbstractWe study the concept of equal uniformities on locally compact topological groups. In Section...
AbstractIn this paper we begin to study some cardinal functions related to quasi-uniformities. We sh...
We define a uniform version of analytic K-homology theory for separable, proper metric spaces. Furth...
[EN] A uniform space X is said to be proximally fine if every proximally continuous function defined...
AbstractIn this paper the concept of property ω-U is introduced in topological groups. The main resu...
[EN] A systematic analysis is made of the character of the free and free abelian topological groups ...
A systematic analysis is made of the character of the free and free abelian topological groups on un...
The character of free topological groups I A systematic analysis is made of the character of the fre...
summary:Relative versions of many important theorems on cardinal invariants of topological spaces ar...
[EN] In this paper we introduce and study three new cardinal topological invariants called the cs∗-...
AbstractWe prove that if the bilateral uniformity B of a topological group of pointwise countable ty...
In this paper we introduce and study three new cardinal topological invariants called the cs∗-, cs-,...
AbstractThe topological embedding of a topological semigroup S, commutative with the property of can...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
Abstract. Let ωµ be an uncountable regular cardinal. For a Tychonoff space X, we let A(X) and F (X) ...
AbstractWe study the concept of equal uniformities on locally compact topological groups. In Section...
AbstractIn this paper we begin to study some cardinal functions related to quasi-uniformities. We sh...
We define a uniform version of analytic K-homology theory for separable, proper metric spaces. Furth...
[EN] A uniform space X is said to be proximally fine if every proximally continuous function defined...
AbstractIn this paper the concept of property ω-U is introduced in topological groups. The main resu...