Vol. 44, No. 1, 1973

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ISSN: 0030-8730
The evaluation map and EHP sequences

George Edward Lang

Vol. 44 (1973), No. 1, 201–210
Abstract

Let LB,X) be the space of maps from ΣB (the reduced suspension of B) to X with the compact-open topology, let lB X and LB,X;l) the path component of LB,X) containing l. For nice spaces the evaluation map ω; LB,X,l) X defined by ω(f) = f() is a fibration and gives rise to a long exact sequence in homotopy. The purpose of this paper is to show that the boundary map in that long exact sequence can be given by a generalized Whitehead product and that the sequence generalizes the EHP sequence of G. W. Whitehead.

Mathematical Subject Classification
Primary: 55E15
Secondary: 55E25
Milestones
Received: 7 June 1971
Published: 1 January 1973
Authors
George Edward Lang