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THE HOMOTOPY TYPE OF THE SPACE OF GRADIENT VECTOR FIELDS ON THE TWO-DIMENSIONAL DISC

Published online by Cambridge University Press:  30 March 2012

PIOTR BARTŁOMIEJCZYK  and
PIOTR NOWAK-PRZYGODZKI
PIOTR BARTŁOMIEJCZYK
Affiliation:
Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland e-mail: pb@mat.ug.edu.pl, web page: http://pb.mat.ug.edu.pl
PIOTR NOWAK-PRZYGODZKI
Affiliation:
Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland e-mail: piotrnp@wp.pl
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Abstract

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We prove that the inclusion of the space of gradient vector fields into the space of all vector fields on D2 non-vanishing in S1 is a homotopy equivalence.

Keywords

Primary: 55Q05Secondary: 37B35

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 3 , September 2012 , pp. 619 - 626
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

REFERENCES

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