A version of the infinite-dimensional Borsuk-Ulam theorem for multivalued maps

This paper is devoted to the proof of the infinite-dimensional Borsuk-Ulam theorem for odd completely continuous multivalued maps with convex images which are defined on level sets of even functions. The results obtained in the paper are new even for single-valued maps. In the final section some applications of the theorem to analysis and differential equations are discussed. © 2016 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Authors
Gel'man B.D. 1
Journal
Sbornik Mathematics
Publisher
Russian Academy of Sciences
Number of issue
6
Language
English
Pages
841-853
Status
Published
Link
External link
DOI
10.1070/SM8588
Volume
207
Year
2016
Organizations
  • 1 Voronezh State University, Russian University of Peoples' Friendship, Moscow, Russian Federation
Keywords
Borsuk-Ulam theorem; Level set of a function; Multivalued map; Surjective operator; Topological dimension
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4138/
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