To an inclusion of topological groups, we associate a spectrum which coincides with the dualizing spectrum of Klein [Math. Ann. 319 (2001) 421-456] when . We also introduce a fibered spectrum analogue.
The main application is to give a purely homotopy theoretic construction of Poincaré embeddings in stable codimension.
"The dualizing spectrum II." Algebr. Geom. Topol. 7 (1) 109 - 133, 2007. https://doi.org/10.2140/agt.2007.7.109