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Mat. Zametki, 2013 Volume 93, Issue 4, Pages 530–536 (Mi mzm9244)

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.

UDC: 517.988

Received: 02.09.2011

DOI: 10.4213/mzm9244


 English version:
Mathematical Notes, 2013, 93:4, 539–544

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© Steklov Math. Inst. of RAS, 2024