Continuity of the inverse

Abstract

We define $\Delta$-Baire spaces. If a paratopological group $G$ is $\Delta$-Baire space, then $G$ is a topological group. Locally pseudocompact spaces, Baire $p$-spaces, Baire $\Sigma$-spaces, products of Čech-complete spaces are $\Delta$-Baire spaces.

in russian, 2008, http://gtopology.math.msu.su/erezn-ci

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