This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bokstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Luck, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.
Reihe
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Für höhere Schule und Studium
Produkt-Hinweis
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-0-691-02728-9 (9780691027289)
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Schweitzer Klassifikation
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
