The Algebraic Theory of Surgery II. Applications to Topology

1980/03/01 by Andrew Ranicki · 6 citations
Computer Science · Mathematics · #Algebra over a field #Algebraic number #Algebraic topology #Citation #Combinatorics #Computer science #Library science #Mathematical Biology Tumor Growth #Mathematics #Pure mathematics #Topological and Geometric Data Analysis #Topology (electrical circuits) #advanced mathematical theories

paper · doi:10.1112/plms/s3-40.2.193

crossref issued 1980/03/01 · crossref published 1980/03/01 · crossref published-print 1980/03/01 · openalex publication_date 1980/03/01 · crossref created 2007/02/14 · crossref published-online 2016/12/23 · crossref deposited 2021/07/22 · openalex created_date 2025/10/10 · crossref indexed 2026/07/21 · openalex updated_date 2026/07/22

Citations

• A manifold which does not admit any differentiable structure
• Groups of Homotopy Spheres: I
• The Algebraic Theory of Surgery I. Foundations
• Modifications and Cobounding Manifolds

Cited by

• Symmetric chain complexes, twisted Blanchfield pairings and knot concordance
• Poincaré duality and periodicity
• K-theory of Hermitian Mackey functors, real traces, and assembly
• Foundations of algebraic surgery
• Homotopy invariance of 4-manifold decompositions: Connected sums
• Surgery theory [wikipedia]