A fixed point theorem for multivalued mappings with nonacyclic values

Dariusz Miklaszewski

DOI: http://dx.doi.org/10.12775/TMNA.2001.008

Abstract


The aim of this paper is to prove that every Borsuk continuous
set-valued map of the closed ball in the 3-dimensional Euclidean
space, taking values which are one point sets or knots, has a
fixed point. This result is a special case of the G\'{o}rniewicz
Conjecture.

Keywords


Fixed points; sphere bundles; homology of manifolds; set valued maps

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism