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.

Notes on file formats

John R. Klein
Department of Mathematics, Wayne State University
Detroit, MI 48202, USA
Email: klein@math.wayne.edu

AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.