AbstractThe main result of this paper is that two T2 topological spaces are homeomorphic if and only if their corresponding characteristic semigroups are isomorphic. Certain classes of topological spaces are then characterized in terms of their characteristic semigroups
AbstractLet X be a zero-dimensional compact space such that all non-empty clopen subsets of X are ho...
[EN] Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element...
All topological spaces will be assumed to be Hausdorff. We shall follow the terminology of [1, 2, 3]...
AbstractWe define the homotopy theory for topological semigroups and study some of its basic propert...
According the definition of the characteristic semigroup of a Hausdorff topological space given by S...
We study topologizations of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ for the family $\m...
Let $\mathcal C$ be a class of topological semigroups. A semigroup $X$ is called (1) $\mathcal C$-$c...
Let X and Y be topological spaces and C and D semigroups under composition of maps from X to X and Y...
Let X and Y be topological spaces and C and D semigroups under composition of maps from X to X and Y...
AbstractWe define the homotopy theory for topological semigroups and study some of its basic propert...
Let ({overset{rightarrow}{mathcal{C}} }) be a category whose objects are semigroups with topology an...
[EN] We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigr...
summary:We prove that the semigroup operation of a topological semigroup $S$ extends to a continuous...
summary:We prove that the semigroup operation of a topological semigroup $S$ extends to a continuous...
ABSTRACT. A property preserved under a semi-homeomorphism is said to be a seml-topologJcal property....
AbstractLet X be a zero-dimensional compact space such that all non-empty clopen subsets of X are ho...
[EN] Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element...
All topological spaces will be assumed to be Hausdorff. We shall follow the terminology of [1, 2, 3]...
AbstractWe define the homotopy theory for topological semigroups and study some of its basic propert...
According the definition of the characteristic semigroup of a Hausdorff topological space given by S...
We study topologizations of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ for the family $\m...
Let $\mathcal C$ be a class of topological semigroups. A semigroup $X$ is called (1) $\mathcal C$-$c...
Let X and Y be topological spaces and C and D semigroups under composition of maps from X to X and Y...
Let X and Y be topological spaces and C and D semigroups under composition of maps from X to X and Y...
AbstractWe define the homotopy theory for topological semigroups and study some of its basic propert...
Let ({overset{rightarrow}{mathcal{C}} }) be a category whose objects are semigroups with topology an...
[EN] We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigr...
summary:We prove that the semigroup operation of a topological semigroup $S$ extends to a continuous...
summary:We prove that the semigroup operation of a topological semigroup $S$ extends to a continuous...
ABSTRACT. A property preserved under a semi-homeomorphism is said to be a seml-topologJcal property....
AbstractLet X be a zero-dimensional compact space such that all non-empty clopen subsets of X are ho...
[EN] Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element...
All topological spaces will be assumed to be Hausdorff. We shall follow the terminology of [1, 2, 3]...