Homotopy operations under a fixed space

Kruse, D. E.; McClendon, J. F.

doi:10.1090/S0002-9947-1978-0467738-4

Homotopy operations under a fixed space
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by D. E. Kruse and J. F. McClendon PDF

Trans. Amer. Math. Soc. 237 (1978), 153-174 Request permission

Abstract:

The problem of classifying extensions of a function up to relative homotopy leads in a natural way to the homotopy operations of the title. The operations, stable and unstable, primary and higher order, are defined and studied. Some specific applications are worked out.

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