Cone topologies of paratopological groups
Group Theory
2019-08-08 v3
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.
Keywords
Cite
@article{arxiv.1406.2993,
title = {Cone topologies of paratopological groups},
author = {Alex Ravsky},
journal= {arXiv preprint arXiv:1406.2993},
year = {2019}
}
Comments
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)