Description

Book Synopsis
This collection brings together papers by mathematicians exploring the research frontiers of topology. The book covers a wide range of topological specialities.

Table of Contents
ForewordProgram of the conferenceMathematical descendants of William BrowderThe mod 2 cohomology rings of rank 3 simple group are Cohen Macaulay3Algebraic geometric invariants for homotopy actions13Algebraic K-theory of local number fields: the unramified case28The mapping cone and cylinder of a stratified map58Replacement of fixed sets and of their normal representations in transformation groups of manifolds67Finite K ([pi],1)s for Artin groups110Double point manifolds of immersions of spheres in Euclidean space125Controlled linear algebra138Non-linear similarity revisited157On the Vietoris-Rips complexes and a cohomology theory for metric spaces175Every proper smooth action of a Lie group is equivalent to a real analytic action: a contribution to Hilbert's fifth problem189Formal deformations of equivariant genera, fixed point formula and universal symmetry blocks221Stable prime decompositions of four-manifolds251Smooth correspondences270Simply connected 6-dimensional manifolds with little symmetry and algebras with small tangent space283Speculations on Grommov convergence of stratified sets, and Riemannian volume collapse303Bordism of automorphisms of manifolds from the algebraic L-theory point of view314Exterior d, the local degree, and smoothability328Contributors339

Prospects in Topology Proceedings of a

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    A Paperback / softback by Frank Quinn

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 31/12/1995
      ISBN13: 9780691027289, 978-0691027289
      ISBN10: 0691027285

      Description

      Book Synopsis
      This collection brings together papers by mathematicians exploring the research frontiers of topology. The book covers a wide range of topological specialities.

      Table of Contents
      ForewordProgram of the conferenceMathematical descendants of William BrowderThe mod 2 cohomology rings of rank 3 simple group are Cohen Macaulay3Algebraic geometric invariants for homotopy actions13Algebraic K-theory of local number fields: the unramified case28The mapping cone and cylinder of a stratified map58Replacement of fixed sets and of their normal representations in transformation groups of manifolds67Finite K ([pi],1)s for Artin groups110Double point manifolds of immersions of spheres in Euclidean space125Controlled linear algebra138Non-linear similarity revisited157On the Vietoris-Rips complexes and a cohomology theory for metric spaces175Every proper smooth action of a Lie group is equivalent to a real analytic action: a contribution to Hilbert's fifth problem189Formal deformations of equivariant genera, fixed point formula and universal symmetry blocks221Stable prime decompositions of four-manifolds251Smooth correspondences270Simply connected 6-dimensional manifolds with little symmetry and algebras with small tangent space283Speculations on Grommov convergence of stratified sets, and Riemannian volume collapse303Bordism of automorphisms of manifolds from the algebraic L-theory point of view314Exterior d, the local degree, and smoothability328Contributors339

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