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Journal of Topology 2008 1(4):761-803; doi:10.1112/jtopol/jtn022
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© 2008 London Mathematical Society

Multiple disjunction for spaces of Poincaré embeddings

Thomas G. Goodwillie

Brown University, Providence, RI 02912, USA tomg@math.brown.edu

John R. Klein

Wayne State University, Detroit, MI 48202, USA klein@math.wayne.edu


  Abstract

We obtain multirelative connectivity statements about spaces of Poincaré embeddings, as precursors to analogous statements about spaces of smooth embeddings. The latter are the key to convergence results in the functor calculus approach to spaces of embeddings.

Received January 25, 2008.

2000 Mathematics Subject Classification 57N35 (primary), 57P10 (secondary)

Both authors are partially supported by the National Science Foundation.


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