Vol. 76, No. 2, 1978

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On the structure of B∞(F), F a stable space

Jerrold Norman Siegel

Vol. 76 (1978), No. 2, 491–507

For a given space F, let F E(F) B(Fbe the classifying fibration for fibre homotopy equivalence classes of fibrations with fibre F. The usual theoretical construction of this fibration offers little insight into its structure homotopically. Below we study this structure under the hypothesis that F has homotopy concentrated in a stable range. As an application of this study, for F a stable two stage Postnikov system determined by a Steenrod operation, we obtain explicit descriptions of the spaces E(F) and B(F).

Mathematical Subject Classification 2000
Primary: 55S35
Received: 14 October 1976
Revised: 11 October 1977
Published: 1 June 1978
Jerrold Norman Siegel