A characterization of the arc by means of the C-index of itssemigroup.
A Characterization of the Sphere and Euclidean Space by Transformation Groups.
A general invariant metrization theorem for compact spaces
-minimal sets and related topics in transformation semigroups. II.
-minimal sets and related topics in transformation semigroups. I.
A note on coclones of topological spaces
The clone of a topological space is known to have a strictly more expressive first-order language than that of the monoid of continuous self-maps. The current paper studies coclones of topological spaces (i.e. clones in the category dual to that of topological spaces and continuous maps) and proves that, in contrast to clones, the first-order properties of coclones cannot express anything more than those of the monoid, except for the case of discrete and indiscrete spaces.
A note on compact groups, acting on R-trees
A note on my paper "Notes on compact semigroups with identity".
A note on the parameters of rational iteration groups.
A note to decompositions of real line
A Polish AR-Space with no Nontrivial Isotopy
The Polish space Y constructed in [vM1] admits no nontrivial isotopy. Yet, there exists a Polish group that acts transitively on Y.
A reconstruction theorem for locally moving groups acting on completely metrizable spaces
Let G be a group which acts by homeomorphisms on a metric space X. We say the action of G is locally moving on X if for every open U ⊆ X there is a g ∈ G such that g↾X ≠ Id while g↾(X∖U) = Id. We prove the following theorem: Theorem A. Let X,Y be completely metrizable spaces and let G be a group which acts on X and Y with locally moving actions. If the orbits of the action of G on X are of the second category in X and the orbits of the action of G on Y are of the second category...
A sandwich theorem for monotone additive functions.
A survey of results on density modulo of double sequences containing algebraic numbers
In this survey article we start from the famous Furstenberg theorem on non-lacunary semigroups of integers, and next we present its generalizations and some related results.
A SURVEY OF SEMIGROUPS OF CONTINUOUS SELFMAPS.
A Universal Proper G-Space.
Action of topological semigroups, invariant means, and fixed points
Actions by a bisimple w-semigroup.
Actions of a locally compact group with zero II.
Actions of a noncompact semigroup with zero.