Cone topologies of paratopological groups

Alex Ravsky

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arXiv · 1406.2993

Cone topologies of paratopological groups

Alex Ravsky

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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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Alex Ravsky. 2014-06-11. Cone topologies of paratopological groups. https://arxiv.org/abs/1406.2993

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