Nigel Ray / Grant Walker (eds.)

Adams Memorial Symposium on Algebraic Topology

Volume 2
Herausgeber: Ray, N.; Walker, Grant; Ray, Nigel

• Broschiertes Buch

Produktbeschreibung

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.

Table of contents:
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.

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.

Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 332
• Erscheinungstermin: 6. November 2004
• Englisch
• Abmessung: 229mm x 152mm x 20mm
• Gewicht: 540g
• ISBN-13: 9780521421539
• ISBN-10: 0521421535
• Artikelnr.: 21755233

Inhaltsangabe

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.