Free products of topological groups with a closed subgroup amalgamated

Journal of the Australian Mathematical Society

Peter Nickolas¹ 

关键词: 22 A 05;    secondary 20 E 06;    54 D 30;    18 A 20;   

DOI  :  10.1017/S1446788700027580

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is shown that if {Gn: n = 1, 2,…} is a countable family of Hausdorff kω-topological groups with a common closed subgroup A, then the topological amalgamated free product *AGn exists and is a Hausdorff kω-topological group with each Gn as a closed subgroup. A consequence is the theorem of La Martin that epimorphisms in the category of kω-topological groups have dense image.

【 授权许可】

Unknown