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arXiv · 1204.2781

On the stabilization of embedded thickenings

John W. Peter
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Abstract

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 category of a smooth stabilization theorem of Connolly and Williams.

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John W. Peter. 2014-09-17. On the stabilization of embedded thickenings. https://arxiv.org/abs/1204.2781

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