A coincidence theory involving Fredholm operators of nonnegative index

Dorota Gabor, Wojciech Kryszewski

DOI: http://dx.doi.org/10.12775/TMNA.2000.004

Abstract


We construct a homotopy invariant appropriate for studying the existence
of coincidence points of Fredholm operators of nonnegative index and multivalued
admissible maps.
Cohomotopy methods are used as a more suitable tool than homological ones.
Both finite and infinite dimensional cases are investigated.

Keywords


Fredholm operator; coincidence points; multivalued map; cohomotopy sets

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