Search
Abstract
We prove that the inclusion of the space of gradient local maps into the space of all local maps from Hilbert space to itself induces a bijection between the sets of the respective otopy classes of these maps, where by a local map we mean a compact perturbation of identity with a compact preimage of zero.
Citations
-
0
CrossRef
-
0
Web of Science
-
0
Scopus
Cite as
Full text
full text is not available in portal
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
FILOMAT
no. 34,
pages 1677 - 1687,
ISSN: 0354-5180 - Language:
- English
- Publication year:
- 2020
- Bibliographic description:
- Bartłomiejczyk P., Nowak-Przygodzki P.: Otopy Classification of Gradient Compact Perturbations of Identity in Hilbert Space// FILOMAT -Vol. 34,iss. 5 (2020), s.1677-1687
- DOI:
- Digital Object Identifier (open in new tab) 10.2298/fil2005677b
- Verified by:
- Gdańsk University of Technology
seen 109 times
Recommended for you
Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space
- P. Bartłomiejczyk,
- B. Kamedulski,
- P. Nowak-Przygodzki
2020
The Hopf type theorem for equivariant gradient local maps
- P. Bartłomiejczyk,
- P. Nowak-Przygodzki
2017