Vol. 15, No. 3, 1965

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ISSN: 0030-8730
On a coincidence theorem of F. B. Fuller

Edward Richard Fadell

Vol. 15 (1965), No. 3, 825–834
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 gare 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
Authors
Edward Richard Fadell