Vol. 60, No. 2, 1975

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On a space between BH and B∞

Jerrold Norman Siegel

Vol. 60 (1975), No. 2, 235–246
Abstract

Let F Ep→B be the classifying space of fibre homotopy equivalence classes of fibrations with fiber F. An obstruction to the existence of a retraction B→rE is developed. This obstruction is shown to vanish when F is a stable space. Consequences of the existence of a retraction are indicated.

Mathematical Subject Classification
Primary: 55F15
Milestones
Received: 7 January 1974
Revised: 25 April 1974
Published: 1 October 1975
Authors
Jerrold Norman Siegel