Delooping Controlled Pseudo-isotopies of Hilbert

Abstract

Let p: E + B be a Hurewicz fibration from a compact Hilbert cube manifold E to a compact polyhedron B. In this paper we construct the controlled Whitehead space Wh( p: E + B) and the space of controlled pseudo-isotopies P( p: E + B) which turns out to be homotopy equivalent to the loop space of Wh( p : E + B). The homotopy groups of Wh( p : E + B) are the… (More)

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