Groups of binary operations and binary G-spaces

被引：7

作者：

Gevorgyan, P. S. ^{[1
]}

机构：

[1] Moscow State Pedag Univ, Moscow, Russia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2016年 / 201卷

关键词：

Compact-open topology; Group of homeomorphisms; Group of binary operations; Binary G-space;

D O I：

10.1016/j.topol.2015.12.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The group of continuous binary operations on a topological space is studied; its relationship with the group of homeomorphisms is established. The category of binary G-spaces and bi-equivariant maps is constructed, which is a natural extension of the category of G-spaces and equivariant maps. Results related to the foundations of the theory of binary G-spaces are obtained. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：18 / 28

页数：11

共 50 条

[1] On binary G-spaces
Gevorkyan, P. S.
[J]. MATHEMATICAL NOTES, 2014, 96 (3-4) : 600 - 602
[2] On binary G-spaces
P. S. Gevorkyan
[J]. Mathematical Notes, 2014, 96 : 600 - 602
[3] On Orbit Spaces of Distributive Binary G-Spaces
Gevorgyan, P. S.
[J]. MATHEMATICAL NOTES, 2022, 112 (1-2) : 177 - 182
[4] Universal space for binary G-spaces
Gevorgyan, P. S.
Melendez, Quitzeh Morales
[J]. TOPOLOGY AND ITS APPLICATIONS, 2023, 329
[5] On Orbits and Bi-invariant Subsets of Binary G-Spaces
Gevorgyan, P. S.
Nazaryan, A. A.
[J]. MATHEMATICAL NOTES, 2021, 109 (1-2) : 38 - 45
[6] EULER CHARACTERISTICS OF DISCRETE GROUPS AND G-SPACES
BROWN, KS
[J]. INVENTIONES MATHEMATICAE, 1974, 27 (03) : 229 - 264
[7] SYNDETIC SUBMEASURES AND PARTITIONS OF G-SPACES AND GROUPS
Banakh, Taras
Protasov, Igor
Slobodianiuk, Sergiy
[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2013, 23 (07) : 1611 - 1623
[8] GROUPS OF GENERALIZED ISOTOPIES AND GENERALIZED G-SPACES
Gevorgyan, P. S.
Iliadis, S. D.
[J]. MATEMATICKI VESNIK, 2018, 70 (02): : 110 - 119
[9] Admissible topologies for groups of homeomorphisms and substitutions of groups of G-spaces
Karassev, A.
Kozlov, K. L.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2020, 275
[10] Equivariant embedding of metrizable G-spaces in linear G-spaces
Feragen, Aasa
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (08) : 2985 - 2995

← 1 2 3 4 5 →