summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological group) is not topologically isomorphic to a subgroup of a product of $\sigma $-compact (or more generally, $o$-bounded) topological groups. This answers a question of M. Tkachenko
We continue in this paper the study of locally minimal groups started in Au fenhofer et al. (2010) [...
AbstractWe continue in this paper the study of locally minimal groups started in Außenhofer et al. (...
AbstractThis survey presents some recent trends and results (most of them unpublished) in minimal gr...
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
AbstractFor every continuous biadditive mapping ω we construct a topological group M(ω) and establis...
The Banach-Mazur separable quotient problem asks whether every infinite-dimensional Banach space B h...
The Banach-Mazur separable quotient problem asks whether every infinite-dimensional Banach space B h...
The aim of this paper is to go deeper into the study of local minimality and its connection to some ...
Separability is one of the basic topological properties. Most classical topological groups and Banac...
AbstractFirst we construct complete totally minimal topological groups which are not locally compact...
Minimal groups are Hausdorff topological groups G satisfying the open mapping theorem with respect t...
AbstractFor every continuous biadditive mapping ω we construct a topological group M(ω) and establis...
Abstract. We prove that the topology of the additive group of the Banach space c0 is not induced by ...
summary:In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compac...
We continue in this paper the study of locally minimal groups started in Au fenhofer et al. (2010) [...
AbstractWe continue in this paper the study of locally minimal groups started in Außenhofer et al. (...
AbstractThis survey presents some recent trends and results (most of them unpublished) in minimal gr...
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
AbstractFor every continuous biadditive mapping ω we construct a topological group M(ω) and establis...
The Banach-Mazur separable quotient problem asks whether every infinite-dimensional Banach space B h...
The Banach-Mazur separable quotient problem asks whether every infinite-dimensional Banach space B h...
The aim of this paper is to go deeper into the study of local minimality and its connection to some ...
Separability is one of the basic topological properties. Most classical topological groups and Banac...
AbstractFirst we construct complete totally minimal topological groups which are not locally compact...
Minimal groups are Hausdorff topological groups G satisfying the open mapping theorem with respect t...
AbstractFor every continuous biadditive mapping ω we construct a topological group M(ω) and establis...
Abstract. We prove that the topology of the additive group of the Banach space c0 is not induced by ...
summary:In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compac...
We continue in this paper the study of locally minimal groups started in Au fenhofer et al. (2010) [...
AbstractWe continue in this paper the study of locally minimal groups started in Außenhofer et al. (...
AbstractThis survey presents some recent trends and results (most of them unpublished) in minimal gr...