Prospects in Topology

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Algebraic cycle
Algebraic topology
Analytic function
Automorphism
Base change
Basis (linear algebra)
Borel conjecture
Category=PBM
Category=PBP
Classifying space
Codimension
Cohomology
Cohomology ring
Compactification (mathematics)
Diagram (category theory)
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac operator
Divisor (algebraic geometry)
Elliptic operator
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exterior (topology)
Exterior algebra
Fiber bundle
Fibration
Fundamental group
Gauss map
Geometrization conjecture
H-cobordism
Homeomorphism
Homotopy
Homotopy fiber
Hopf algebra
Inclusion map
Isomorphism class
J-homomorphism
L-theory
Lens space
Lie algebra
Linear algebra
Mapping cone (homological algebra)
Mapping cone (topology)
Marriage theorem
Metric space
Moduli space
Neighbourhood (mathematics)
Quasi-isometry
Quotient space (topology)
Regularization (mathematics)
Representation theory
Riemann surface
Riemannian manifold
Set (mathematics)
Sheaf (mathematics)
Sign (mathematics)
Stable homotopy theory
Subgroup
Submanifold
Submersion (mathematics)
Subset
Support (mathematics)
Theorem
Topological group
Topological K-theory
Topological space
Topology
Torsion sheaf
Transversality (mathematics)
Vector bundle
Whitehead torsion
Zariski topology
Zorn's lemma

Product details

  • ISBN 9780691027289
  • Weight: 482g
  • Dimensions: 197 x 254mm
  • Publication Date: 31 Dec 1995
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
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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. 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.
Frank Quinn is University Distinguished Professor of Mathematics at Virginia Polytechnic Institute and State University.