Prospects in Topology

Frank Quinn is University Distinguished Professor of Mathematics at Virginia Polytechnic Institute and State University.

• 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