1999/03/16 by C. T. C. Wall · 13 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Bounded function #Euclidean space #History and Theory of Mathematics #Homotopy #Mathematical analysis #Mathematics #Mathematics and Applications #Poincaré conjecture #Pure mathematics #Relativity and Gravitational Theory #Simple (philosophy)
paper · doi:10.1090/surv/069
openalex publication_date 1999/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Preliminaries: Note on conventions Basic homotopy notions Surgery below the middle dimension Appendix: Applications Simple Poincare complexes The main theorem: Statement of results An important special case The even-dimensional case The odd-dimensional case The bounded odd-dimensional case The bounded even-dimensional case Completion of the proof Patterns of application: Manifold structures on Poincare complexes Applications to submanifolds Submanifolds: Other techniques Separating submanifolds Two-sided submanifolds One-sided submanifolds Calculations and applications: Calculations: Surgery obstruction groups Calculations: The surgery obstructions Applications: Free actions on spheres General remarks An extension of the Atiyah-Singer G-signature theorem Free actions of S1 Fake projective spaces (real) Fake lens spaces Applications: Free uniform actions on euclidean space Fake tori Polycyclic groups Applications to 4-manifolds Postscript: Further ideas and suggestions: Recent work Function space methods Topological manifolds Poincare embeddings Homotopy and simple homotopy Further calculations Sullivan's results Reformulations of the algebra Rational surgery References Index.