This article is cited in 6 papers

On Orbits and Bi-invariant Subsets of Binary $G$-Spaces

P. S. Gevorgyan^a, A. A. Nazaryan<sup>b

a</sup> Moscow State Pedagogical University
^b Yerevan State University

Abstract: Orbits and bi-invariant subsets of binary $G$-spaces are studied. The problem of the distributivity of a binary action of a group $G$ on a space $X$, which was posed in 2016 by one of the authors, is solved.

Keywords: binary operation, topological group, homeomorphism group, representation of a topological group.

UDC: 515.122.6

Received: 19.07.2020

DOI: 10.4213/mzm12981

 English version: Mathematical Notes, 2021, 109:1, 38–45

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