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
AbstractA topological group is minimal if it does not admit a strictly coarser Hausdorff group topol...
AbstractAssuming the absence of Q-points (which is consistent with ZFC) we prove that the free topol...
AbstractLet F(X) be the free topological group on a Tychonoff space X. For all natural number n we d...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
AbstractIt is known that the free topological group over the Tychonoff space X, denoted F(X), is a P...
AbstractThe uniform free topological group over a uniform space μX is embedded in the uniform free t...
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 theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that...
AbstractIn this paper we investigate the topological structure of the Graev free topological group o...
If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and ...
ABSTRACT. Let $F(X) $ and $A(X) $ be respectively the free topological group and the free abelian to...
AbstractLet X be a metrizable space and F(X) and A(X) be the free topological group over X and the f...
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
[EN] Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In...
AbstractA topological group is minimal if it does not admit a strictly coarser Hausdorff group topol...
AbstractAssuming the absence of Q-points (which is consistent with ZFC) we prove that the free topol...
AbstractLet F(X) be the free topological group on a Tychonoff space X. For all natural number n we d...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
AbstractIt is known that the free topological group over the Tychonoff space X, denoted F(X), is a P...
AbstractThe uniform free topological group over a uniform space μX is embedded in the uniform free t...
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 theory of covering spaces is often used to prove the Nielsen-Schreier theorem, which states that...
AbstractIn this paper we investigate the topological structure of the Graev free topological group o...
If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and ...
ABSTRACT. Let $F(X) $ and $A(X) $ be respectively the free topological group and the free abelian to...
AbstractLet X be a metrizable space and F(X) and A(X) be the free topological group over X and the f...
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
[EN] Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In...
AbstractA topological group is minimal if it does not admit a strictly coarser Hausdorff group topol...
AbstractAssuming the absence of Q-points (which is consistent with ZFC) we prove that the free topol...
AbstractLet F(X) be the free topological group on a Tychonoff space X. For all natural number n we d...
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