Suspensions of generalized spheres and the triangulation theory (Q1876366)

From MaRDI portal





scientific article; zbMATH DE number 2097037
Language Label Description Also known as
English
Suspensions of generalized spheres and the triangulation theory
scientific article; zbMATH DE number 2097037

    Statements

    Suspensions of generalized spheres and the triangulation theory (English)
    0 references
    0 references
    0 references
    6 September 2004
    0 references
    The authors start from Quinn's observation [\textit{F. Quinn}, Invent. Math. 72, 267--284 (1983; Zbl 0555.57003)] that the Cannon-Edwards theorem on the double suspension can be extended to generalized homology spheres and prove a similar result on the single suspension of generalized homotopy spheres. Then they give a series of applications of this result to the triangulation theory for topological manifolds.
    0 references
    generalized homotopy sphere
    0 references
    triangulation theory for manifolds
    0 references
    Milnor conjecture
    0 references
    homology \(n\)-sphere
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references