Geometric applications of homotopy theory : proceedings, Evanston, March 21-26, 1977

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Geometric applications of homotopy theory : proceedings, Evanston, March 21-26, 1977

edited by M.G. Barratt and M.E. Mahowald

（Lecture notes in mathematics, 657, 658）

Springer-Verlag, 1978

  • v. 1 : Berlin
  • v. 1 : New York
  • v. 2 : Berlin
  • v. 2 : New York

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Includes bibliographies

内容説明・目次

巻冊次

v. 1 : Berlin ISBN 9783540088585

目次

Fixed point indices and left invariant framings.- Detecting framed manifolds in the 8 and 16 stems.- Algebraic k-theory with coefficients /p.- Torsion with rings for orders and finite groups.- Computations of gelfand-fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces.- Torsion free mod p H-spaces.- Representing framed bordism classes by manifolds embedded in low codimension.- The transfer and characteristic classes.- The quillen-grothendieck construction and extensions of pairings.- Endomorphisms of the cohomology ring of finite grassmann manifolds.- Immersing manifolds and 2-equivalence.- Mod 2 homotopy-associative H-spaces.- Lifting actions in fibrations.- Partial transfers.- Algebraic-topological problems in approximation theory.- H-spaces of a given rank.- Two examples on finite H-spaces.- Analytic equivariant K-homology.- Smooth spherical space forms.- Which Group Structures on S3 have a maximal torus?.- G surgery in the homotopy category and K0(Z(G)).- Finite nilpotent group actions on finite complexes.- Constructions of aspherical manifolds.- Embeddings and immersions of manifolds.- Free homotopy theory and localization.
巻冊次

v. 2 : Berlin ISBN 9783540088592

目次

Maps between classifying spaces.- Twisted Lie algebras.- Cobordism of sequences of manifolds.- Splittings of MU and other spectra.- Homotopy theory of ?-spaces, spectra, and bisimplicial sets.- Algebraic and geometric connecting homomorphisms in the Adams spectral sequence.- Obstruction theory and K-theory.- The tame homotopy groups of a suspension.- Some tables for formal groups and BP.- On a modified eilenberg-moore theorem.- On the hopf construction associated with a composition.- On the stable decomposition of ??S?A.- Multiplications in two-cell spectra.- Line bundles, cohomology automorphisms, and homotopy rigidity of linear actions.- The construction of small ring spectra.- A? ring spaces and algebraic K-theory.- Cohomology operations and vector fields.- On G and the stable adams conjecture.- Completions of complex cobordism.- The E2-term of Novikov's spectral sequence.- Hypercohomology of topological categories.- A Novice's guide to the adams-novikov spectral sequence.- Some remarks on the lambda algebra.

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