Pontryagin duality and topological algebras
Sergei Saidmuzafarovich Akbarov · Banach Center Publications · 2005
As is known, the Pontryagin duality is a traditional object of investigations in Group Theory.Another application of this idea was found quite recently in the theory of topological algebras and is known as stereotype theory.A detailed description of this theme was presented in the author's survey [1] and in his big paper [2] containing all the exact formulations and the accurate proofs.This note has the publicity aims: we would like to discuss here some results of [2] concentrating our attention mostly on the motives and giving a more popular form to the exposition.We announce, in addition, some new results and list some open problems.Let us start with the following philosophical question: