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 –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.
Citation
Wolfgang Steimle. "Obstructions to stably fibering manifolds." Geom. Topol. 16 (3) 1691 - 1724, 2012. https://doi.org/10.2140/gt.2012.16.1691
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