Embedding, compression and fiberwise homotopy theory

Abstract

Given Poincare spaces M and X, we study the possibility of compressing embeddings of M x I in X x I down to embeddings of M in X. This results in a new approach to embedding in the metastable range both in the smooth and Poincare duality categories.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-15.abs.html

Cited by in corpus (6)

• Homotopical Intersection Theory, I
• Algebraic models of Poincare embeddings
• Poincare duality and Periodicity
• The Dualizing Spectrum, II
• On classifying Hurewicz fibrations and fibre bundles over polyhedron bases
• Poincaré Complex Diagonals and the Bass trace Conjecture