Conference on the Topology of Manifolds

A₁ algebra Amer Annals of Math boundary bundle coefficients cohomology combinatorial combinatorial topology construction COROLLARY d₁ defined DEFINITION deformation retract denote diagram diffeomorphism dimension duality E. C. Zeeman element embedding engulfing isotopy Engulfing Theorem exists fibre finite complex follows H-spaces H₁ H₁(X Haefliger knot Hence homeomorphism homology groups homotopy associative homotopy equivalence homotopy type identity imbedding induced infinite cyclic covering invariant isomorphism isotopy H k-dimensional K₁ Lemma Let f Let h locally flat locally nice map h mapping cylinder Microbundles module morphism multiplication n-manifold obstruction obstruction theory open set open tube orientable P₁ pair parallelizable piecewise linear PL-equivalence polyhedral polyhedron polynomial proof of Theorem proper homotopy properly homotopic Proposition proved sequence simplex smooth manifold space subset Suppose topological manifolds torsion tower for h triangulation trivial tubular neighborhood unknots vector vector bundle vertical X₁