Vol. 15, No. 2, 1965

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Maps which induce the zero map on homotopy

Donald William Kahn

Vol. 15 (1965), No. 2, 537–540

The work of Eilenberg and MacLane shows that a map from one space to another may induce the zero map on homotopy groups, yet be essential. The purpose of this paper is to give a characterization of such maps in terms of Postnikov decompositions of the spaces. As applications, we consider what additional information is needed to make such a map null-homotopic, and we prove a proposition concerning Chern classes.

Mathematical Subject Classification
Primary: 55.40
Received: 7 April 1964
Published: 1 June 1965
Donald William Kahn