In [A.V. Arhangel’skii and J. van Mill, On topological groups with a first-countable remainder, Topology Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first countable remainder doesn’t exceed w_1 and a non-locally compact topological group of character w_1 having a compactification whose remainder is first countable is given. We generalize these results in the general case of an arbitrary infinite cardinal .
On topological groups with remainder of character κ
BONANZINGA, Maddalena;CUZZUPE', MARIA VITTORIA
2016-01-01
Abstract
In [A.V. Arhangel’skii and J. van Mill, On topological groups with a first-countable remainder, Topology Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first countable remainder doesn’t exceed w_1 and a non-locally compact topological group of character w_1 having a compactification whose remainder is first countable is given. We generalize these results in the general case of an arbitrary infinite cardinal .File in questo prodotto:
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