The dualizing spectrum II

Klein, John R

doi:10.2140/agt.2007.7.109

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The dualizing spectrum II

John R Klein

Algebraic & Geometric Topology 7 (2007) 109–133

DOI: 10.2140/agt.2007.7.109

arXiv: math.AT/0610035

Abstract

To an inclusion $H \subset G$ of topological groups, we associate a spectrum $D_{H \subset G}$ which coincides with the dualizing spectrum $D_{G}$ of Klein [Math. Ann. 319 (2001) 421-456] when $H = G$ . We also introduce a fibered spectrum analogue.

The main application is to give a purely homotopy theoretic construction of Poincaré embeddings in stable codimension.

Keywords

Poincaré space, embedding, fiberwise homotopy

Mathematical Subject Classification 2000

Primary: 55P91

Secondary: 57P10

References

Publication

Received: 30 September 2006

Accepted: 5 January 2007

Published: 23 February 2007

Authors

John R Klein
Wayne State University Detroit, MI 48202

Volume 7, issue 1 (2007)