Abstract
We compare the sets of homotopy classes of gradient and proper gradient vector fields in the plane. Namely, we show that gradient and proper gradient homotopy classi cations are essentially different. We provide a complete description of the sets of homotopy classes of gradient maps from R^n to R^n and proper gradient maps from R^2 to R^2 with the Brouwer degree greater or equal to zero.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
Homology Homotopy and Applications
no. 23,
pages 61 - 76,
ISSN: 1532-0073 - Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Bartłomiejczyk P., Nowak-Przygodzki P.: Gradient versus proper gradient homotopies// Homology Homotopy and Applications -Vol. 23,iss. 1 (2021), s.61-76
- DOI:
- Digital Object Identifier (open in new tab) 10.4310/hha.2021.v23.n1.a5
- Verified by:
- Gdańsk University of Technology
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