Algebraic & Geometric Topology 7 (2007) 109–133

DOI: 10.2140/agt.2007.7.109

arXiv: math.AT/0610035

Abstract

To an inclusion H ⊂ G of topological groups, we associate a spectrum D_H⊂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

Primary: 55P91

Secondary: 57P10

References

Publication

Received: 30 September 2006
Accepted: 5 January 2007
Published: 23 February 2007

Authors