Gradient versus proper gradient homotopies

Piotr Bartłomiejczyk; Piotr Nowak-Przygodzki

doi:10.4310/hha.2021.v23.n1.a5

Gradient versus proper gradient homotopies

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.

Citations

0

CrossRef
0

Web of Science
0

Scopus

Authors (2)

Piotr Bartłomiejczyk dr hab.
Piotr Nowak-Przygodzki

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

GRADIENT MAP, PROPER MAP, HOMOTOPY.

Details

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