Geodesic
Weak continuity properties of topologized groups
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 133-148 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
@article{CMJ_2010_60_1_a11,
     author = {Cao, J. and Drozdowski, R. and Piotrowski, Z.},
     title = {Weak continuity properties of topologized groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {133--148},
     year = {2010},
     volume = {60},
     number = {1},
     mrnumber = {2595078},
     zbl = {1224.54079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a11/}
}
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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/