On maximal compact subsemigroups of the endomorphism semigroup of an n-dimensional complex vector space.
On maximal ideals of compact connected topological semigroups.
On metrizable abelian groups with a completeness-type property
On Neutral Subgroups of Topological Groups.
On -ideals of groups of divisibility
On open subsemigroups of connected groups.
On orderability of topological groups.
On Prealgebraic Groups.
On pseudocompact topological Brandt λ 0 -extensions of semitopological monoids
In the paper we investigate topological properties of a topological Brandt λ0-extension B0λ(S) of a semitopological monoid S with zero. In particular we prove that for every Tychonoff pseudocompact (resp., Hausdorff countably compact, Hausdorff compact) semitopological monoid S with zero there exists a unique semiregular pseudocompact (resp., Hausdorff countably compact, Hausdorff compact) extension B0λ(S) of S and establish their Stone-Cˇ ech and Bohr compactifications. We also describe a category...
On -ideals in compact semigroups
On quadratic loops of Bol-Moufang type
On quasi-transitive semigroup actions.
On recognition and compactification.
On recurrent functions.
On resolvable spaces and groups
It is proved that every uncountable -bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal.
On Schwartz groups
We introduce a notion of a Schwartz group, which turns out to be coherent with the well known concept of a Schwartz topological vector space. We establish several basic properties of Schwartz groups and show that free topological Abelian groups, as well as free locally convex spaces, over hemicompact k-spaces are Schwartz groups. We also prove that every hemicompact k-space topological group, in particular the Pontryagin dual of a metrizable topological group, is a Schwartz group.
On ...semigroups of probability distribution functions II.
On semitopological actions of generalized I-semigroups.
On simple recognizing of bounded sets
We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.
On solutions of the Gołab-Schinzel equation.