Geodesic
Weak continuity properties of topologized groups
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 133-148

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We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if $(G, \cdot ,\tau )$ is a regular right (left) semitopological group with $\mathop{{\rm dev}}(G)\mathop{{\rm Nov}}(G)$ such that all left (right) translations are feebly continuous, then $(G,\cdot ,\tau )$ is a topological group. This extends several results in literature.
Classification : 22A05, 54C08, 54E52, 54H11
Keywords: developability number; feebly continuous; nearly continuous; Novak number; paratopological group; semitopological group; topological group 
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     title = {Weak continuity properties of topologized groups},
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Cao, J.; Drozdowski, R.; Piotrowski, Z. Weak continuity properties of topologized groups. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 133-148. http://geodesic.mathdoc.fr/item/CMJ_2010__60_1_a11/