Actions by a bisimple w-semigroup.
Actions of a locally compact group with zero II.
Actions of a noncompact semigroup with zero.
Addendum to "A survey of semigroups of continuous selfmaps" (with intro. by K. D. Magill).
Addition theorems and related geometric problems of group representation theory
The Levi-Civita functional equation (g,h ∈ G), for scalar functions on a topological semigroup G, has as the solutions the functions which have finite-dimensional orbits in the right regular representation of G, that is the matrix elements of G. In considerations of some extensions of the L-C equation one encounters with other geometric problems, for example: 1) which vectors x of the space X of a representation have orbits O(x) that are “close” to a fixed finite-dimensional subspace? 2) for...
Additional notes on continuity in semitopological semigroups.
Affine semigroups and second duals.
Affinoid structures and connections
a-inflatable semigroups.
Algebra in the superextensions of twinic groups [Book]
Algebraic aspects of web geometry
Algebraic aspects of web geometry, namely its connections with the quasigroup and loop theory, the theory of local differential quasigroups and loops, and the theory of local algebras are discussed.
Algebraic dimension of semigroups with application to invariant measures.
Algebraic obstructions to sequential convergence in Hausdorff abelian groups.
Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.
Almost all submaximal groups are paracompact and σ-discrete
We prove that any topological group of a non-measurable cardinality is hereditarily paracompact and strongly σ-discrete as soon as it is submaximal. Consequently, such a group is zero-dimensional. Examples of uncountable maximal separable spaces are constructed in ZFC.
Almost maximal topologies on groups
Let G be a countably infinite group. We show that for every finite absolute coretract S, there is a regular left invariant topology on G whose ultrafilter semigroup is isomorphic to S. As consequences we prove that (1) there is a right maximal idempotent in βG∖G which is not strongly right maximal, and (2) for each combination of the properties of being extremally disconnected, irresolvable, and nodec, except for the combination (-,-,+), there is a corresponding regular almost maximal left invariant...
Almost periodic compactifications of group extensions
Let and be groups and let be an extension of by . Given a property of group compactifications, one can ask whether there exist compactifications and of and such that the universal -compactification of is canonically isomorphic to an extension of by . We prove a theorem which gives necessary and sufficient conditions for this to occur for general properties and then apply this result to the almost periodic and weakly almost periodic compactifications of .
Almost-Periodic Functions, Compactifications, and Faces of Finite-Dimensional Cones.
Amenability induced by amenable homomorphlc images.
An amenability property of algebras of functions on semidirect products of semigroups.