The Hopf type theorem for equivariant gradient local maps

Piotr Bartłomiejczyk; Piotr Nowak-Przygodzki

doi:10.1007/s11784-017-0451-z

The Hopf type theorem for equivariant gradient local maps

Abstract

We construct a degree-type otopy invariant for equivariant gradient local maps in the case of a real finite-dimensional orthogonal representation of a compact Lie group. We prove that the invariant establishes a bijection between the set of equivariant gradient otopy classes and the direct sum of countably many copies of Z.

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DOI:: Digital Object Identifier (open in new tab) 10.1007/s11784-017-0451-z
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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Journal of Fixed Point Theory and Applications no. 19, edition 4, pages 2733 - 2753,
ISSN: 1661-7738
Language:: English
Publication year:: 2017
Bibliographic description:: Bartłomiejczyk P., Nowak-Przygodzki P.: The Hopf type theorem for equivariant gradient local maps// Journal of Fixed Point Theory and Applications. -Vol. 19, iss. 4 (2017), s.2733-2753
DOI:: Digital Object Identifier (open in new tab) 10.1007/s11784-017-0451-z
Verified by:: Gdańsk University of Technology