Adams Memorial Symposium on Algebraic Topology : Manchester, 1990

著者

• Adams Memorial Symposium on Algebraic Topology
• Ray, Nigel
• Walker, G

書誌事項

Adams Memorial Symposium on Algebraic Topology : Manchester, 1990

edited by N. Ray and G. Walker

（London Mathematical Society lecture note series, 175, 176）

Cambridge University Press, 1992

• 1
• 2

注記

Includes bibliographical references

内容説明・目次

巻冊次

1 ISBN 9780521420747

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. 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.

目次

• 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.

目次

• 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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詳細情報

• NII書誌ID(NCID): BA1838941X
• ISBN:
  • 0521420741
  • 0521421535
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: 2 v.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 415.7
• 件名:
  • LCSH : Algebraic topology -- Congresses
• 親書誌ID:
  • BA0005393X