n 2013, Yu.N.~Kuznetsova constructed a duality theory for Moore groups, based on the idea of continuous envelope topological algebra and having advantage over existing theories that its enveloping category consists Hopf algebras in classical sense. Unfortunately, her work contains several errors, due to which can be considered proved only narrower class groups form Rn×K×D, where K is compact gr...

In this paper we introduce a new notion of weakly m-continuous functions as functions from a set satisfying some minimal conditions into a topological spaces. We obtain some characterizations and several properties of such functions. Moreover, we define strongly m-closed graphs, m-compactness and m-connectedness and investigate the relationship between their properties and weakly m-continuous f...

where / is a mapping of X into its adjoint space X* such that for all u in X, (J(u)} ^)=|M| 2 d ||/(^)|| HMI* In some recent papers ([7], [8], [9]), we have presented an existence theory for solutions of nonlinear functional equations in uniformly convex Banach spaces X involving nonexpansive and accretive mappings. These results were obtained by interweaving the fixed point theory of nonexpans...

A solution to the infinite coupling problem for N = 2 conformal supersymmetric gauge theories in four dimensions is presented. The infinitely-coupled theories are argued to be interacting superconformal field theories (SCFTs) with weakly gauged flavor groups. Consistency checks of this proposal are found by examining some low-rank examples. As part of these checks, we show how to compute new ex...

We provide the appropriate common ‘(pre)framework’ for various central results of domain theory and topology, like the Lawson duality of continuous domains, the Hofmann–Lawson duality between continuous frames and locally compact sober spaces, the Hofmann–Mislove theorems about continuous semilattices of compact saturated sets, or the theory of stably continuous frames and their topological man...