Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: H. Sahleh and S. Sajjad Gashti
Pages: [287] - [293]
Received Date: October 17, 2010
Submitted by:
In this paper, we define the set of all compactly generated extensions in the category of locally compact Abelian groups and prove that under the Baire sum, it forms an Abelian group. Also, we show that if G has only one open compact subgroup, say H, then the group of all compactly generated extensions of locally compact groups imbeds in the group of all continuous homomorphisms of G into H.
locally compact groups, compactly generated extension.
