Topological groups of divisibility
Topological groups with Rokhlin properties
In his classical paper [Ann. of Math. 45 (1944)] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book, Lectures on Ergodic Theory, he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rokhlin. For this reason the name of Rokhlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups. In this paper we will survey some of the new developments...
Topological Nearrings Whose Additive Groups are Euclidean.
Topological regular semigroups and topological inductive groupoids.
Topological Rough Groups
The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an approximation space.
Topological semigroups and Kirk's question
Topological Semigroups. History, Theory, Applications.
Topological semilattices with enough closed subsemilattices to separate points.
Topological type of weakly closed subgroups in Banach spaces
The main result says that nondiscrete, weakly closed, containing no nontrivial linear subspaces, additive subgroups in separable reflexive Banach spaces are homeomorphic to the complete Erdős space. Two examples of such subgroups in which are interesting from the Banach space theory point of view are discussed.
Topologically 0-simple semigroups.
Topologies on free monoids induced by closure operators of a special type
Topologies on free monoids induced by families of languages
Topologies on the graph of the equivalence relation associated to a groupoid.
Topologisch Linksengelsche Elemente.
Topology of the isometry group of the Urysohn space
Using classical results of infinite-dimensional geometry, we show that the isometry group of the Urysohn space, endowed with its usual Polish group topology, is homeomorphic to the separable Hilbert space ℓ²(ℕ). The proof is based on a lemma about extensions of metric spaces by finite metric spaces, which we also use to investigate (answering a question of I. Goldbring) the relationship, when A,B are finite subsets of the Urysohn space, between the group of isometries fixing A pointwise, the group...
Topološki analogon Hosu-Gluškinove teoreme
Transforms associated to square integrable group representations. II : examples
Trees and monotone structures.
Two new extensions of the Hales-Jewett theorem.
Two results on real continuous bicharacters.