Volume 7 (2004)

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Algebraic and combinatorial codimension–1 transversality

Andrew Ranicki

Geometry & Topology Monographs 7 (2004) 145–180

DOI: 10.2140/gtm.2004.7.145

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

Mathematical Subject Classification

Primary: 57R67

Secondary: 19J25

References
Publication

Received: 14 August 2003
Revised: 9 January 2004
Accepted: 28 January 2004
Published: 18 September 2004

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