Add to ORKGIn this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of the Fréchet-Urysohn fan Sω in a topological group G admitting a functorial embedding [0, 1] ⊂ G. The latter means that each autohomeomorphism of [0, 1] extends to a continuous homomorphism of G. This implies that many natural free topological group constructions (e.g. the constructions of the Markov free topological group, free abelian topological group, free totally bounded group, free compact group) applied to a Tychonov spaceX containing a topological copy of the spaceQ of rationals give topological groups containing Sω. 1
We put Soren Galatius's result on the homology of the automorphism group of free groups into context...
The character of free topological groups I A systematic analysis is made of the character of the fre...
Abstract. An embedding X ⊂ G of a topological space X into a topo-logical group G is called functori...
AbstractIn this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of th...
AbstractIn this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of th...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
AbstractGiven a Tychonoff space X and classes U and V of topological groups, we say that a topologic...
In this note the Stone-Cech compactification is used to produce short proofs of two theorems on the ...
AbstractGiven a Tychonoff space X and classes U and V of topological groups, we say that a topologic...
ABSTRACT. Let $F(X) $ and $A(X) $ be respectively the free topological group and the free abelian to...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this...
AbstractIn this paper we investigate the topological structure of the Graev free topological group o...
We consider the following question: for which metrizable separable spaces X does the free abelian to...
This paper shows that the group of auto-homeomorphisms of a topological group can be endowed with a ...
We put Soren Galatius's result on the homology of the automorphism group of free groups into context...
The character of free topological groups I A systematic analysis is made of the character of the fre...
Abstract. An embedding X ⊂ G of a topological space X into a topo-logical group G is called functori...
AbstractIn this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of th...
AbstractIn this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of th...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
AbstractGiven a Tychonoff space X and classes U and V of topological groups, we say that a topologic...
In this note the Stone-Cech compactification is used to produce short proofs of two theorems on the ...
AbstractGiven a Tychonoff space X and classes U and V of topological groups, we say that a topologic...
ABSTRACT. Let $F(X) $ and $A(X) $ be respectively the free topological group and the free abelian to...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this...
AbstractIn this paper we investigate the topological structure of the Graev free topological group o...
We consider the following question: for which metrizable separable spaces X does the free abelian to...
This paper shows that the group of auto-homeomorphisms of a topological group can be endowed with a ...
We put Soren Galatius's result on the homology of the automorphism group of free groups into context...
The character of free topological groups I A systematic analysis is made of the character of the fre...
Abstract. An embedding X ⊂ G of a topological space X into a topo-logical group G is called functori...