Embedding, compression and fiberwise homotopy theory

Given Poincaré spaces $M$ and $X$ , we study the possibility of compressing embeddings of $M \times I$ in $X \times I$ 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

Mathematical Subject Classification 2000

Primary: 57P10

Secondary: 55R99

References

Forward citations

Publication

Received: 18 February 2002

Accepted: 8 May 2002

Published: 10 May 2002

Authors

John R Klein
Department of Mathematics Wayne State University Detroit, MI 48202 USA

Volume 2, issue 1 (2002)

John R Klein