On the stabilization of embedded thickenings

Details On the stabilization of embedded thickenings On the stabilization of embedded thickenings

2012-04-12

arxiv.org/abs/1204.2781v1

Mathematics

Algebraic Topology

33 pages

Scientific paper

We define a space of relative embedded thickenings of a given map from a
finite complex to a Poincare Duality space, and show that there is a highly
connected stabilization map between such spaces induced by fiberwise
suspension. As a result, we obtain a generalization to the Poincare Duality
categroy of a smooth stabilization theorem of Connolly and Williams.

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