On H-groups and their applications to topological homotopy groups

Ali Pakdaman; Hamid Torabi; Behrooz Mashayekhy

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arXiv · 1009.5176

On H-groups and their applications to topological homotopy groups

Ali Pakdaman·Hamid Torabi·Behrooz Mashayekhy

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Abstract

This paper develops a basic theory of H-groups. We introduce a special quotient of H-groups and extend some algebraic constructions of topological groups to the category of H-groups and H-maps. We use these constructions to prove some advantages in topological homotopy groups. Also, we present a family of spaces that their topological fundamental groups are indiscrete topological group and find out a family of spaces whose topological fundamental group is a topological group.

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BibTeX RIS

Ali Pakdaman, Hamid Torabi, Behrooz Mashayekhy. 2010-09-27. On H-groups and their applications to topological homotopy groups. https://arxiv.org/abs/1009.5176

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