Cancellation law for Homotopy Equivalent representations of Groups of odd order.
Closed convex -subgroups and radical classes of convergence -groups
In this paper we prove that the system of all closed convex -subgroups of a convergence -group is a Brouwer lattice and that a similar result is valid for radical classes of convergence -groups.
Closed Ideals of Homogeneous Algebras.
Compact Abelian groups and extensions of Haar measures [Book]
Compact groups of automorphisms of stable planes.
Compact Lie groups with isomorphic homotopy groups.
Compact subgroups of
Compactness conditions in topological groups.
Construction of right topological compactifications for discrete versions of subsemigroups of compact groups.
Construction techniques for some thin sets in duals of compact abelian groups
Various techniques are presented for constructing (p) sets which are not for all . The main result is that there is a (4) set in the dual of any compact abelian group which is not for all . Along the way to proving this, new constructions are given in dual groups in which constructions were already known of (p) not sets, for certain values of . The main new constructions in specific dual groups are:– there is a (2k) set which is not in for all , and , and in ( a prime,...
Correction to the paper "The structure space of the trigonometric polynomials on a comapct group".
Covering maps over solenoids which are not covering homomorphisms
Let Y be a connected group and let f: X → Y be a covering map with the total space X being connected. We consider the following question: Is it possible to define a topological group structure on X in such a way that f becomes a homomorphism of topological groups. This holds in some particular cases: if Y is a pathwise connected and locally pathwise connected group or if f is a finite-sheeted covering map over a compact connected group Y. However, using shape-theoretic techniques and Fox's notion...
Coverings and dimensions in infinite profinite groups
Answering a question of Miklós Abért, we prove that an infinite profinite group cannot be the union of less than continuum many translates of a compact subset of box dimension less than 1. Furthermore, we show that it is consistent with the axioms of set theory that in any infinite profinite group there exists a compact subset of Hausdorff dimension 0 such that one can cover the group by less than continuum many translates of it.