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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 3, Pages 621-623
doi:10.1155/S0161171284000673

The extending topologies

Bradd Clark and Viktor Schneider

Department of Mathematics and Statistics, University of Southwestern Louisiana, Lafayette 70504, Louisiana, USA

Abstract

Let H be a topological group and a subgroup of G. A topology on G is called an extending topology if and only if it makes G a topological group and it induces the given topology on H. The set of all such topologies is studied.