O bikompaktných totálne nekomutatívnych pologrupách
O totálne nekomutatívnych pologrupách
Objects Dual to Subsemigroups of Groups.
Oids, finite sums and the structure of the Stone-Cech compactification of a discrete semigroup.
Old and New on S1(2).
On a centralizer result of Hunter's (correspondence between Karl Heinrich Hofmann and Robert P. Hunter).
On a covering group theorem and its applications.
On a Generalised Open-Mapping Theorem
On a generalization of Abelian sequential groups
Let (G,τ) be a Hausdorff Abelian topological group. It is called an s-group (resp. a bs-group) if there is a set S of sequences in G such that τ is the finest Hausdorff (resp. precompact) group topology on G in which every sequence of S converges to zero. Characterizations of Abelian s- and bs-groups are given. If (G,τ) is a maximally almost periodic (MAP) Abelian s-group, then its Pontryagin dual group is a dense -closed subgroup of the compact group , where is the group G with the discrete...
On a Limit Theorem of Measures.
On a property of the one-dimensional torus
On a theorem of van Douwen.
On a theorem of W.W. Comfort and K.A. Ross
A well known theorem of W.W. Comfort and K.A. Ross, stating that every pseudocompact group is -embedded in its Weil completion [5] (which is a compact group), is extended to some new classes of topological groups, and the proofs are very transparent, short and elementary (the key role in the proofs belongs to Lemmas 1.1 and 4.1). In particular, we introduce a new notion of canonical uniform tightness of a topological group and prove that every -dense subspace of a topological group , such...
On a universality property of some abelian Polish groups
We show that every abelian Polish group is the topological factor group of a closed subgroup of the full unitary group of a separable Hilbert space with the strong operator topology. It follows that all orbit equivalence relations induced by abelian Polish group actions are Borel reducible to some orbit equivalence relations induced by actions of the unitary group.
On algebraic radicals in mobs
On Algebras all of Whose Subalgebras are Simple; Some Solutions of Plonka's Problem
On Amenable and Compact Groups.
On an application of the work of D.E. Knuth to semigroups.
On associative developable surfaces
On certain actions of semi-groups on L-spaces