The Algebraic Theory of Surgery I. Foundations

1980/01/01 by Andrew Ranicki · 4 citations
Mathematics · #History and Theory of Mathematics #advanced mathematical theories #Mathematics and Applications #Citation #Mathematics #Algebraic number #Algebra over a field #Library science #Computer science #Pure mathematics

paper · doi:10.1112/plms/s3-40.1.87

openalex publication_date 1980/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/18

Abstract

Poincar6 duality should be a 'simple and satisfactory algebraic version of the whole setup ' to quote 5 17G of the book of Wall [25] on the surgery of compact manifolds. The theory of Mishchenko [l01 describes the

Cited by

• The Algebraic Theory of Surgery II. Applications to Topology
• Symmetric chain complexes, twisted Blanchfield pairings and knot concordance
• Foundations of algebraic surgery
• Surgery theory [wikipedia]