Geodesic
Quotient and transversal mappings for topological quasigroups
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 3, pp. 497-522

Voir la notice de l'article provenant de la source Math-Net.Ru

This article is devoted to studying the structure of topological left (or right) quasigroups, which play a great role in noncommutative geometry. Quotient and transversal mappings are important in the theory of differentiable manifolds and topological manifolds. Their transversal and quotient mappings are investigated. Necessary and sufficient conditions for their continuity are scrutinized. Examples are given. Homogeneous spaces are investigated related to topological quasigroups and their subquasigroups. For this purpose, the products of special types of topological left (or right) quasigroups, which are called smashed, are investigated. They are used to describe an extensive family of topological nondiscrete left (or right) quasigroups for which transversal mappings are continuous.
Keywords: noncommutative geometry, topology, mapping, continuity, homogeneous space, product.
Mots-clés : quasigroup, quotient, transversal 
@article{VUU_2023_33_3_a7,
     author = {S. V. Ludkovsky},
     title = {Quotient and transversal mappings for topological quasigroups},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {497--522},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a7/}
}
TY  - JOUR
AU  - S. V. Ludkovsky
TI  - Quotient and transversal mappings for topological quasigroups
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2023
SP  - 497
EP  - 522
VL  - 33
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a7/
LA  - ru
ID  - VUU_2023_33_3_a7
ER  - 
%0 Journal Article
%A S. V. Ludkovsky
%T Quotient and transversal mappings for topological quasigroups
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2023
%P 497-522
%V 33
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a7/
%G ru
%F VUU_2023_33_3_a7
S. V. Ludkovsky. Quotient and transversal mappings for topological quasigroups. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 3, pp. 497-522. http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a7/