It is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. We introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. We deal with Vietoris and Hausdorff continuity concepts.Stability of microperiodi...

We study topological von Neumann regularity and principal von Neumann regularity of Banach algebras. Our main objective is comparing these two types of Banach algebras and some other known Banach algebras with one another. In particular, we show that the class of topologically von Neumann regular Banach algebras contains all $C^*$-algebras, group algebras of compact abelian groups and ...

In this paper we describe a backtrack search over parallel classes with a partial isomorph rejection to classify resolvable 2-(12, 6, 5c) designs. We use the intersection pattern between the parallel classes and the fact that any resolvable 2-(12, 6, 5c) design is also a resolvable 3-(12, 6, 2c) design to effectively guide the search. The method was able to enumerate all nonsimple resolutions a...