We prove that the asterisk topologies on the direct sum of topological Abelian groups, used by Kaplan and Banaszczyk in duality theory, are different. However, in the category of locally quasiconvex groups they do not differ, and coincide with the coproduct topology
AbstractGiven a linear non-discrete topology λ on the integers, we show that there exists a strictly...
We introduce a topological counterpart to the Płonka sums of algebraic structures: the Płonka produc...
AbstractIn 1957 Robert Ellis proved that a group with a locally compact Hausdorff topology T making ...
We prove that the asterisk topologies on the direct sum of topological Abelian groups, used by Kapl...
AbstractWe prove that the asterisk topologies on the direct sum of topological Abelian groups, used ...
AbstractThis paper is a study of certain topological group topologies on the weak or restricted dire...
AbstractWe prove that the asterisk topologies on the direct sum of topological Abelian groups, used ...
AbstractThis paper is a study of certain topological group topologies on the weak or restricted dire...
The notion of locally quasi-convex abelian group, introduced by Vilenkin, is extended to maximally a...
In mathematics, the Seifert-van Kampen theorem of Algebraic topology, sometimes it is called as van ...
AbstractWe characterize the compact and locally compact Hausdorff topological groups and rings that ...
Let $G$ be an abelian group, and $F$ a downward directed family of subsets of $G$. The finest topolo...
A class of abelian topological groups was previously defined to be a variety of topological groups w...
We introduce a topological counterpart to the Płonka sums of algebraic structures: the Płonka produc...
The present paper is a contribution to fill in a gap existing between the theory of topological vect...
AbstractGiven a linear non-discrete topology λ on the integers, we show that there exists a strictly...
We introduce a topological counterpart to the Płonka sums of algebraic structures: the Płonka produc...
AbstractIn 1957 Robert Ellis proved that a group with a locally compact Hausdorff topology T making ...
We prove that the asterisk topologies on the direct sum of topological Abelian groups, used by Kapl...
AbstractWe prove that the asterisk topologies on the direct sum of topological Abelian groups, used ...
AbstractThis paper is a study of certain topological group topologies on the weak or restricted dire...
AbstractWe prove that the asterisk topologies on the direct sum of topological Abelian groups, used ...
AbstractThis paper is a study of certain topological group topologies on the weak or restricted dire...
The notion of locally quasi-convex abelian group, introduced by Vilenkin, is extended to maximally a...
In mathematics, the Seifert-van Kampen theorem of Algebraic topology, sometimes it is called as van ...
AbstractWe characterize the compact and locally compact Hausdorff topological groups and rings that ...
Let $G$ be an abelian group, and $F$ a downward directed family of subsets of $G$. The finest topolo...
A class of abelian topological groups was previously defined to be a variety of topological groups w...
We introduce a topological counterpart to the Płonka sums of algebraic structures: the Płonka produc...
The present paper is a contribution to fill in a gap existing between the theory of topological vect...
AbstractGiven a linear non-discrete topology λ on the integers, we show that there exists a strictly...
We introduce a topological counterpart to the Płonka sums of algebraic structures: the Płonka produc...
AbstractIn 1957 Robert Ellis proved that a group with a locally compact Hausdorff topology T making ...