On Mackey topologies in topological abelian groups.
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 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 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 the Commutator Subgroup of a Nonconnected Central Group.
On the completeness of a topological group of functions.
On the completeness of localic groups
The main purpose of this paper is to show that any localic group is complete in its two-sided uniformity, settling a problem open since work began in this area a decade ago. In addition, a number of other results are established, providing in particular a new functor from topological to localic groups and an alternative characterization of -groups.
On the dimension modulo classes of topological spaces and free topological groups.
On the foundations of k-group theory [Book]
On the Glicksberg theorem for locally quasi-convex Schwartz groups
We prove that every locally quasi-convex Schwartz group satisfies the Glicksberg theorem for weakly compact sets.
On the group of isometries of the Urysohn universal metric space
On the -topology in groups
On the number of compact subsets in topological groups
On the Product of Two (Totally) Minimal Topological Groups and the Three-Space-Problem.
On the Suslin number of subgroups of products of countable groups