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

Authors: D. E. Kruse and J. F. McClendon
Journal: Trans. Amer. Math. Soc. 237 (1978), 153-174
MSC: Primary 55E35; Secondary 55G36
DOI: https://doi.org/10.1090/S0002-9947-1978-0467738-4
MathSciNet review: 0467738
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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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