07939nam 22016935 450 991015474950332120190708092533.01-4008-8258-310.1515/9781400882588(CKB)3710000000622818(MiAaPQ)EBC4738750(DE-B1597)467979(OCoLC)954123881(OCoLC)990478086(DE-B1597)9781400882588(EXLCZ)99371000000062281820190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierProspects in Topology (AM-138), Volume 138 Proceedings of a Conference in Honor of William Browder. (AM-138) /Frank QuinnPrinceton, NJ : Princeton University Press, [2016]©19961 online resource (357 pages) illustrationsAnnals of Mathematics Studies ;320Conference held Princeton, March 1994.0-691-02729-3 0-691-02728-5 Includes bibliographical references.Frontmatter -- Contents -- Foreword -- Program of the Conference -- Mathematical descendants of William Browder -- The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen-Macaulay / Adem, Alejandro / Milgram, R. James -- Algebraic Geometric Invariants for Homotopy Actions / Assadi, Amir H. -- Algebraic K-Theory of Local Number Fields: The Unramified Case / Bokstedt, M. / Madsen, I. -- The Mapping Cone and Cylinder of a Stratified Map / Cappell, Sylvain E. / Shaneson, Julius L. -- Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds / Cappell, Sylvain / Weinberger, Shmuel -- Finite K (π, 1)s for Artin Groups / Charney, Ruth / Davis, Michael W. -- Double Point Manifolds of Immersions of Spheres in Euclidean Space / Eccles, Peter J. -- Controlled Linear Algebra / Freedman, Michael H. / Wang, Zhenghan -- Non-Linear Similarity Revisited / Hambleton, Ian / Pedersen, Erik K. -- On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces / Hausmann, Jean-Claude -- Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert's Fifth Problem / Illman, Sören -- Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks / Katz, Gabriel -- Stable Prime Decompositions of Four-Manifolds / Kreck, Matthias / Luck, Wolfgang / Teichner, Peter -- Smooth Correspondences / Morava, Jack -- Simply Connected 6-Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space / Puppe, Volker -- Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse / Quinn, Frank -- Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View -- Exterior d, the Local Degree, and Smoothability / Sullivan, Dennis -- ContributorsThis 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.Annals of mathematics studies ;no. 138.TopologyCongressesAdjunction (field theory).Algebraic cycle.Algebraic topology.Analytic function.Automorphism.Base change.Basis (linear algebra).Borel conjecture.Characteristic class.Circle group.Classifying space.Cobordism.Codimension.Cohomology ring.Cohomology.Combinatorial group theory.Commutative diagram.Commutative property.Compactification (mathematics).Coxeter group.Cyclic group.Cyclic homology.Diagram (category theory).Diffeomorphism.Differentiable manifold.Differential topology.Dimension (vector space).Dirac operator.Discrete valuation ring.Divisor (algebraic geometry).Elliptic operator.Equivariant K-theory.Equivariant cohomology.Equivariant map.Exterior (topology).Exterior algebra.Fiber bundle.Fibration.Fundamental group.Gauss map.Geometrization conjecture.Group algebra.H-cobordism.Homeomorphism.Homotopy fiber.Homotopy group.Homotopy.Hopf algebra.Identity matrix.Inclusion map.Intersection form (4-manifold).Isomorphism class.J-homomorphism.Knot theory.L-theory.Lens space.Lie algebra.Lie group.Linear algebra.Mapping cone (homological algebra).Mapping cone (topology).Marriage theorem.Metric space.Moduli space.Motivic cohomology.Neighbourhood (mathematics).Operator norm.Pushout (category theory).Quasi-isometry.Quotient space (topology).Real projective space.Regularization (mathematics).Representation theory.Riemann surface.Riemannian manifold.Set (mathematics).Sheaf (mathematics).Sign (mathematics).Simplicial complex.Stable homotopy theory.Subgroup.Submanifold.Submersion (mathematics).Subset.Support (mathematics).Sylow theorems.Tangent space.Theorem.Topological K-theory.Topological group.Topological manifold.Topological space.Topology.Torsion sheaf.Transversality (mathematics).Unification (computer science).Vector bundle.Whitehead torsion.Zariski topology.Zorn's lemma.Topology514Quinn Frank, DE-B1597DE-B1597BOOK9910154749503321Prospects in Topology (AM-138), Volume 1382788318UNINA