1976/01/01 by C. D. Feustel · 2 citations
Mathematics · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #Geometric Analysis and Curvature Flows #Mathematics #Torus #Generalization #Extension (predicate logic) #Pure mathematics #Boundary (topology) #Class (philosophy) #Discrete mathematics #Mathematical analysis #Geometry
paper · doi:10.1090/s0002-9947-1976-0394666-3
openalex publication_date 1976/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
In this paper, we prove the torus theorem and that manifolds in a certain class of 3-manifolds with toral boundary are determined by their fundamental groups alone. Both of these results were reported by F. Waldhausen. We also give an extension of Waldhausen’s generalization of the loop theorem.