Vol. 95, No. 1, 1981

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Two results on cofibers

Howard J. Marcum

Vol. 95 (1981), No. 1, 133–142

Recently M. Mather has generalized results of T. Ganea concerning homotopy fibers and cofibers. In this paper we present two results on cofibers, one of which substantially extends and clarifies Mather’s generalization. Our other result (which is used to prove the first) in part examines the mapping cone of the fiberwise join of two maps. Applications of the results are made to reprove a result of I. M. James on the fiberwise suspension and to give a characterization of coreducible Thom spaces.

Mathematical Subject Classification 2000
Primary: 55P40
Received: 26 June 1978
Published: 1 July 1981
Howard J. Marcum