Sequential continuity on dyadic compacta and topological groups
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 775-790.

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We study conditions under which sequentially continuous functions on topological spaces and sequentially continuous homomorphisms of topological groups are continuous.
Classification : 03E35, 03E55, 54A25, 54A35, 54C08, 54D30, 54E45, 54H11
Keywords: sequentially continuous; dyadic compactum; topological group; sequential leader; real-valued measurable cardinal; completion-regular measure
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Arhangel'skii, A. V.; Just, W.; Plebanek, G. Sequential continuity on dyadic compacta and topological groups. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 775-790. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a8/