CiNii 図書 - Adams Memorial Symposium on Algebraic Topology : Manchester, 1990

J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. Here in the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. The second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence.

The work of J. F. Adams
Bibliography
Twisted tensor products of DGAs and the Adams-Hilton model for the total space of a fibration
Hochschild homology, cyclic homology and the cobar construction
Hermitian A -rings and their K-theory
A splitting result for the second homology of the general linear group
Low dimensional spinor representations, Adams maps and geometric dimension
The characteristic for the exceptional Lie groups
How can you tell two spaces apart when they have the same n-type for all n?
A generalised Grothendieck spectral sequence
Localisation of the axes of pairings
Fibrewise reduced product spaces
Computing homotopy types using crossed n-cubes of groups
On orthogonal pairs in categories and localization
A note on extensions of nil-potent groups
On the Swan subgroup of metacyclic groups
Fields of spaces
Maps between p-completed classifying spaces, III
Retracts of classifying spaces
On the dimension theory of dominant summands.

巻冊次: 2 ISBN 9780521421539

内容説明

J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra.

Progress report on the telescope conjecture
On K* stable homotopy theory
Detruncating Morava K-theory
p-adic interpolation of stable homotopy groups
Some remarks on v1-periodic homotopy groups
The unstable Novikov spectral sequence for Sp(n), and the power series sinh-1(x)
On a certain localisation of the stable homotopy of the space XG
Co-operations in elliptic homology
Completion of G-spectra at ideals of the Burnside ring, I & II
Theorems of Poisson, Euler and Bernouilli on the Adams spectral sequence
Algebras over the Steenrod algebra and finite H-spaces
The boundedness conjecture for the action of the Steenrod algebra on polynomials
Representations of the homology of BV and the Steenrod algebra, I
Generic representation theory and Lannes' T-functor
Some chromatic phenomena in the homotopy of MSp
On a conjecture of Mahowald concerning bordism with singularities
Topological gravity and algebraic topology.

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Adams Memorial Symposium on Algebraic Topology : Manchester, 1990

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