Groups of Invertible Binary Operations of a Topological Space
- Authors: Gevorgyan P.S.1
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Affiliations:
- Moscow State Pedagogical University
- Issue: Vol 53, No 1 (2018)
- Pages: 16-20
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228116
- DOI: https://doi.org/10.3103/S106836231801003X
- ID: 228116
Cite item
Abstract
In this paper, continuous binary operations of a topological space are studied and a criterion of their invertibility is proved. The classification problem of groups of invertible continuous binary operations of locally compact and locally connected spaces is solved. A theorem on the binary distributive representation of a topological group is also proved.
About the authors
P. S. Gevorgyan
Moscow State Pedagogical University
Author for correspondence.
Email: pgev@yandex.ru
Russian Federation, Moscow