Algebraic and Geometric Topology 2 (2002), paper no. 15, pages 311-336.

Embedding, compression and fiberwise homotopy theory

John R. Klein

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.

Keywords. Poincare space, embedding, fiberwise homotopy

AMS subject classification. Primary: 57P10. Secondary: 55R99.

DOI: 10.2140/agt.2002.2.311

E-print: arXiv:math.AT/0205273

Submitted: 18 February 2002. Accepted: 8 May 2002. Published: 10 May 2002.

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

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