AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is thin in FM(X) where supp(B) is the minimal set A ⊂ X with the property B ⊂ gp(A), and gp(A) is the group envelope of A. If X is not a P-space, then B ⊂ FM(X) is thin in FM(X) iff supp(B) is bounded in X
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
AbstractThe uniform free topological group over a uniform space μX is embedded in the uniform free t...
[EN] A systematic analysis is made of the character of the free and free abelian topological groups ...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and ...
AbstractIt is known that the free topological group over the Tychonoff space X, denoted F(X), is a P...
The theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that...
We consider the action of a group $G$ on the family $\mathcal{P}(G)$ of all subsets of $G$ by the ri...
ABSTRACT. Let $F(X) $ and $A(X) $ be respectively the free topological group and the free abelian to...
AbstractA topological group is minimal if it does not admit a strictly coarser Hausdorff group topol...
AbstractGiven a Tychonoff space X and classes U and V of topological groups, we say that a topologic...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
The character of free topological groups I A systematic analysis is made of the character of the fre...
Abstract. Every topological group G has some natural compactifica-tions which can be a useful tool o...
AbstractA Hausdorff topological group G is minimal if every continuous isomorphism f:G→H between G a...
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
AbstractThe uniform free topological group over a uniform space μX is embedded in the uniform free t...
[EN] A systematic analysis is made of the character of the free and free abelian topological groups ...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and ...
AbstractIt is known that the free topological group over the Tychonoff space X, denoted F(X), is a P...
The theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that...
We consider the action of a group $G$ on the family $\mathcal{P}(G)$ of all subsets of $G$ by the ri...
ABSTRACT. Let $F(X) $ and $A(X) $ be respectively the free topological group and the free abelian to...
AbstractA topological group is minimal if it does not admit a strictly coarser Hausdorff group topol...
AbstractGiven a Tychonoff space X and classes U and V of topological groups, we say that a topologic...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
The character of free topological groups I A systematic analysis is made of the character of the fre...
Abstract. Every topological group G has some natural compactifica-tions which can be a useful tool o...
AbstractA Hausdorff topological group G is minimal if every continuous isomorphism f:G→H between G a...
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
AbstractThe uniform free topological group over a uniform space μX is embedded in the uniform free t...
[EN] A systematic analysis is made of the character of the free and free abelian topological groups ...
DOI
Add to ORKG