On a coincidence theorem of F. B. Fuller

Edward Richard Fadell

Vol. 15 (1965), No. 3, 825–834

DOI: 10.2140/pjm.1965.15.825

Abstract

Our objective is the following theorem.

Theorem (1.1). Let X denote a space dominated by a finite n-polyhedron K such that Hⁿ(X;Z) is torsion free. Let M be a compact topological n-manifold which is 1-connected and let f,g : X → M be two given maps. Then, there is a map g′∼ g : X → M such that f and g′ are coincidence free if, and only if, the (rational) Lefschetz coincidence class L(f,g) = 0.

Mathematical Subject Classification

Primary: 55.36

Milestones

Received: 20 April 1964

Published: 1 September 1965