Geometry & Topology Monographs, Vol. 7 (2004),
Proceedings of the Casson Fest,
Paper no. 6, pages 145--180.

Algebraic and combinatorial codimension-1 transversality

Andrew Ranicki

Abstract. The Waldhausen construction of Mayer-Vietoris splittings of chain complexes over an injective generalized free product of group rings is extended to a combinatorial construction of Seifert-van Kampen splittings of CW complexes with fundamental group an injective generalized free product.

Keywords. Transversality, CW complex, chain complex

AMS subject classification. Primary: 57R67. Secondary: 19J25.

E-print: arXiv:math.AT/0308111

Submitted to GT on 14 August 2003. (Revised 9 January 2004.) Paper accepted 28 January 2004. Paper published 18 September 2004.

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Andrew Ranicki
School of Mathematics, University of Edinburgh
King's Buildings, Edinburgh EH9 3JZ, Scotland, UK

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