Fixed point index and chain approximations

Hans-Willi Siegberg and Guentcho Svetoslavov Skordev

Vol. 102 (1982), No. 2, 455–486

DOI: 10.2140/pjm.1982.102.455

Abstract

Localizing the Lefschetz number of certain chain approximations of upper semi continuous multivalued mappings a new approach to fixed point index is given. It turns out that this fixed point index satisfies the commutativity property as well as the mod -p property (known from the single-valued case). In particular, in the single-valued case the proof of the mod -p property is a natural consequence of a corresponding property of (global) Lefschetz number.

Mathematical Subject Classification 2000

Primary: 55M20

Secondary: 54H25

Milestones

Received: 30 March 1981

Revised: 10 August 1981

Published: 1 October 1982