Cone topologies of paratopological groups

2014/06/11 by Ravsky, Alex
#22A15 (Primary) 54H99 54H11 (Secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1406.2993

Abstract

We introduce so-called cone topologies of paratopological groups, which are a wide way to construct counterexamples, especially of examples of compact-like paratopological groups with discontinuous inversion. We found a simple interplay between the algebraic properties of a basic cone subsemigroup S of a group G and compact-like properties of two basic semigroup topologies generated by S on the group G.

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• On pseudobounded and premeager paratopological groups