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.
Authors
- dr hab. Piotr Bartłomiejczyk link open in new tab ,
- Piotr Nowak-Przygodzki
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.4310/hha.2021.v23.n1.a5
- Category
- Publikacja w czasopiśmie
- Type
- artykuły w czasopismach
- Language
- angielski
- Publication year
- 2021
Source: MOSTWiedzy.pl - publication "Gradient versus proper gradient homotopies" link open in new tab
