Volume 7, issue 1 (2007)

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The dualizing spectrum II

John R Klein

Algebraic & Geometric Topology 7 (2007) 109–133
 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
Primary: 55P91
Secondary: 57P10