Path components of the space of gradient vector fields on the two-dimensional disc |
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Authors: | Piotr Bartłomiejczyk Piotr Nowak-Przygodzki |
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Affiliation: | 1. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, PL-80-952, Gdańsk, Poland 2. Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, PL-80-233, Gdańsk, Poland
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Abstract: | We present a short proof that if two gradient maps on the two-dimensional disc have the same degree, then they are gradient homotopic. |
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