The homotopy type of the space of gradient vector fields on the two-dimensional disc

Piotr Bartłomiejczyk; Piotr Nowak-Przygodzki

doi:10.1017/s0017089512000195

The homotopy type of the space of gradient vector fields on the two-dimensional disc

Abstract

We prove that the inclusion of the space of gradient vector fields into the space of all vector fields on D^2 non-vanishing in S^1 is a homotopy equivalence

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: GLASGOW MATHEMATICAL JOURNAL no. 54, pages 619 - 626,
ISSN: 0017-0895
Language:: English
Publication year:: 2012
Bibliographic description:: Bartłomiejczyk P., Nowak-Przygodzki P.: The homotopy type of the space of gradient vector fields on the two-dimensional disc// GLASGOW MATHEMATICAL JOURNAL. -Vol. 54, nr. iss. 3 (2012), s.619-626
DOI:: Digital Object Identifier (open in new tab) 10.1017/s0017089512000195
Verified by:: Gdańsk University of Technology