An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings

Dariusz Miklaszewski

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

  • Volume: 53, Issue: 2, page 181-186
  • ISSN: 0239-7269

Abstract

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We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.

How to cite

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Dariusz Miklaszewski. "An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings." Bulletin of the Polish Academy of Sciences. Mathematics 53.2 (2005): 181-186. <http://eudml.org/doc/280471>.

@article{DariuszMiklaszewski2005,
abstract = {We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.},
author = {Dariusz Miklaszewski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {fixed points; set-valued map; Borsuk continuity; characteristic classes; fibre bundle},
language = {eng},
number = {2},
pages = {181-186},
title = {An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings},
url = {http://eudml.org/doc/280471},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Dariusz Miklaszewski
TI - An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 2
SP - 181
EP - 186
AB - We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
LA - eng
KW - fixed points; set-valued map; Borsuk continuity; characteristic classes; fibre bundle
UR - http://eudml.org/doc/280471
ER -

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