Prospects in Topology (AM-138), Volume 138: Proceedings of a Conference in Honor of William Browder. (AM-138)

Prospects in Topology (AM-138), Volume 138: Proceedings of a Conference in Honor of William Browder. (AM-138)

by Frank Quinn (Editor)


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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.

Product Details

ISBN-13: 9780691027296
Publisher: Princeton University Press
Publication date: 12/31/1995
Series: Annals of Mathematics Studies , #138
Pages: 340
Product dimensions: 7.75(w) x 10.00(h) x (d)

About the Author

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

Table of Contents

Program of the conference
Mathematical descendants of William Browder
The mod 2 cohomology rings of rank 3 simple group are Cohen Macaulay3
Algebraic geometric invariants for homotopy actions13
Algebraic K-theory of local number fields: the unramified case28
The mapping cone and cylinder of a stratified map58
Replacement of fixed sets and of their normal representations in transformation groups of manifolds67
Finite K ([pi],1)s for Artin groups110
Double point manifolds of immersions of spheres in Euclidean space125
Controlled linear algebra138
Non-linear similarity revisited157
On the Vietoris-Rips complexes and a cohomology theory for metric spaces175
Every proper smooth action of a Lie group is equivalent to a real analytic action: a contribution to Hilbert's fifth problem189
Formal deformations of equivariant genera, fixed point formula and universal symmetry blocks221
Stable prime decompositions of four-manifolds251
Smooth correspondences270
Simply connected 6-dimensional manifolds with little symmetry and algebras with small tangent space283
Speculations on Grommov convergence of stratified sets, and Riemannian volume collapse303
Bordism of automorphisms of manifolds from the algebraic L-theory point of view314
Exterior d, the local degree, and smoothability328

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