Cellularity and the index of narrowness in topological groups
Mihail G. Tkachenko (2011)
Commentationes Mathematicae Universitatis Carolinae
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We study relations between the cellularity and index of narrowness in topological groups and their -modifications. We show, in particular, that the inequalities and hold for every topological group and every cardinal , where denotes the underlying group endowed with the -modification of the original topology of and is the index of narrowness of the group . Also, we find some bounds for the complexity of continuous real-valued functions on an arbitrary -narrow group...