|
Covering Maps of Spaces of Compact Subsets
B. D. Gel'mana, S. E. Zhukovskiib a Voronezh State University
b Peoples Friendship University of Russia, Moscow
Abstract:
Mappings generated by covering maps of metric spaces are considered in the spaces of compact subsets of metric spaces. Sufficient conditions for the covering property of maps of spaces of compact sets and sufficient conditions for the existence of coincidence sets of maps of metric spaces are obtained.
Keywords:
metric space, covering map, Lipschitz mapping, coincidence set of maps, Lipschitz condition.
Received: 02.09.2011
Citation:
B. D. Gel'man, S. E. Zhukovskii, “Covering Maps of Spaces of Compact Subsets”, Mat. Zametki, 93:4 (2013), 530–536; Math. Notes, 93:4 (2013), 539–544
Linking options:
https://www.mathnet.ru/eng/mzm9244https://doi.org/10.4213/mzm9244 https://www.mathnet.ru/eng/mzm/v93/i4/p530
|
|