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Prospects in Topology (AM-138), Volume 138
Proceedings of a Conference in Honor of William Browder. (AM-138)
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Edited by:
Frank Quinn
Language:
English
Published/Copyright:
1996
About this book
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. Bökstedt, 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. Lück, 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.
Author / Editor information
Frank Quinn is University Distinguished Professor of Mathematics at Virginia Polytechnic Institute and State University.
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Frontmatter
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Contents
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Foreword
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Program of the Conference
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Mathematical descendants of William Browder
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The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen—Macaulay
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Algebraic Geometric Invariants for Homotopy Actions
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Algebraic K-Theory of Local Number Fields: The Unramified Case
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The Mapping Cone and Cylinder of a Stratified Map
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Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds
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Finite K (π, 1)s for Artin Groups
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Double Point Manifolds of Immersions of Spheres in Euclidean Space
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Controlled Linear Algebra
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Non-Linear Similarity Revisited
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On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces
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Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert’s Fifth Problem
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Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks
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Stable Prime Decompositions of Four-Manifolds
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Smooth Correspondences
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Simply Connected 6—Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space
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Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse
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Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View
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Exterior d, the Local Degree, and Smoothability
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Contributors
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 2, 2016
eBook ISBN:
9781400882588
Pages and Images/Illustrations in book
Main content:
340
eBook ISBN:
9781400882588
Keywords for this book
Homotopy; Theorem; Fibration; Analytic function; Cohomology; Topology; Quotient space (topology); Fiber bundle; Fundamental group; Zariski topology; Mapping cone (homological algebra); Basis (linear algebra); Sheaf (mathematics); Algebraic topology; Exterior (topology); Transversality (mathematics); Zorn's lemma; Representation theory; Riemann surface; Base change; Subgroup; Diagram (category theory); Set (mathematics); Cohomology ring; Support (mathematics); L-theory; Hopf algebra; Whitehead torsion; Dimension (vector space); Codimension; Submersion (mathematics); Divisor (algebraic geometry); Metric space; Lie algebra; Riemannian manifold; Sign (mathematics); Moduli space; Mapping cone (topology); Geometrization conjecture; Topological space; Compactification (mathematics); Vector bundle; Topological group; Lens space; Submanifold; Inclusion map; Differentiable manifold; Exterior algebra; Classifying space; Linear algebra; Elliptic operator; Algebraic cycle; Regularization (mathematics); H-cobordism; Neighbourhood (mathematics); Marriage theorem; Homotopy fiber; Gauss map; Differential topology; Subset; J-homomorphism; Homeomorphism; Torsion sheaf; Topological K-theory; Borel conjecture; Isomorphism class; Automorphism; Dirac operator; Stable homotopy theory; Quasi-isometry
Audience(s) for this book
College/higher education;Professional and scholarly;
