Spaces of sections of Eilenberg-Mac Lane fibrations

Jesper M. Møller

Vol. 130 (1987), No. 1, 171–186

DOI: 10.2140/pjm.1987.130.171

Abstract

We show first that the space of sections of a fibration with an Eilenberg-Mac Lane space as fibre has the weak homotopy type of a product of Eilenberg-Mac Lane spaces. Secondly, mapping spaces with twisted Eilenberg-Mac Lane spaces as targets are shown to be generalized twisted Eilenberg-Mac Lane spaces.

Mathematical Subject Classification 2000

Primary: 55S40

Secondary: 55P20

Milestones

Received: 12 July 1986

Published: 1 November 1987