On covering groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 85-91
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We study finite-sheeted covering mappings from compact connected spaces onto compact connected groups. For such a covering mapping we consider a method of supplying its covering space by a group structure. The covering space endowed with that group structure is a topological group, and a given covering mapping turns into a homomorphism of compact connected groups.
Keywords:
compact connected group, covering group, covering space, continuous homomorphism, finite-sheeted covering mapping, topological space.
@article{IVM_2020_3_a7,
author = {R. N. Gumerov},
title = {On covering groups},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {85--91},
publisher = {mathdoc},
number = {3},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2020_3_a7/}
}
R. N. Gumerov. On covering groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 85-91. http://geodesic.mathdoc.fr/item/IVM_2020_3_a7/