Cone topologies of paratopological groups

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.

This paper was updated and finally became a part of a larger paper arXiv 1003.5343 (v6), so please read and reference the last version of the latter paper instead of this (1406.2993)

References in corpus (1)

• Pseudocompact paratopological groups that are topological

Cited by in corpus (1)

• $H$-closed quasitopological groups