#### Volume 2, issue 1 (2002)

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Embedding, compression and fiberwise homotopy theory

### John R Klein

Algebraic & Geometric Topology 2 (2002) 311–336
 arXiv: math.AT/0205273
##### Abstract

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

##### Keywords
Poincaré space, embedding, fiberwise homotopy
Primary: 57P10
Secondary: 55R99