Adams Memorial Symposium on Algebraic Topology: Volume 2

ISBN-13: 9780521421539 / Angielski / Miękka / 1992 / 332 str.

N. Ray; Nigel Ray; Grant Walker

Opis

J. Frank Adams had a profound influence on algebraic topology, and his work continues 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 Adam's 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 homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical.

Recenzje

"...this exceptional three-volume history of Latin American Literature...surpasses its goal....Congatulations to contributors, editors, and publishers on what will become a classic in the field." F. Colecchia, Choice

Spis treści

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.