Geodesic
Continuity of the inverse in groups
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 63-67

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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. 
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     author = {E. A. Reznichenko},
     title = {Continuity of the inverse in groups},
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E. A. Reznichenko. Continuity of the inverse in groups. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2022), pp. 63-67. http://geodesic.mathdoc.fr/item/VMUMM_2022_4_a8/