Geometry & Topology 16 (2012) 1691–1724

DOI: 10.2140/gt.2012.16.1691

Abstract

Is a given map between compact topological manifolds homotopic to the projection map of a fiber bundle? In this paper obstructions to this question are introduced with values in higher algebraic K–theory. Their vanishing implies that the given map fibers stably. The methods also provide results for the corresponding uniqueness question; moreover they apply to the fibering of Hilbert cube manifolds, generalizing results by Chapman and Ferry.

Keywords

fibering a manifold, algebraic K–theory of spaces

Mathematical Subject Classification

Primary: 19J10, 55R10

Secondary: 57N20

References

Publication

Received: 26 July 2011
Accepted: 23 May 2012
Published: 3 August 2012
Proposed: Bill Dwyer
Seconded: Ronald J Stern, John Lott

Authors