A fixed point theorem for multivalued mappings with nonacyclic values
Keywords
Fixed points, sphere bundles, homology of manifolds, set valued mapsAbstract
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.Downloads
Published
2001-03-01
How to Cite
1.
MIKLASZEWSKI, Dariusz. A fixed point theorem for multivalued mappings with nonacyclic values. Topological Methods in Nonlinear Analysis. Online. 1 March 2001. Vol. 17, no. 1, pp. 125 - 131. [Accessed 7 February 2025].
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