Adams Memorial Symposium on Algebraic Topology: Volume 1 by Nigel Ray, Grant Walker

By Nigel Ray, Grant Walker

J. Frank Adams had a profound impression on algebraic topology, and his works proceed to form its improvement. The overseas Symposium on Algebraic Topology held in Manchester in the course of July 1990 used to be devoted to his reminiscence, and almost all the world's best specialists took half. This two-volume paintings constitutes the court cases of the symposium. The articles contained right here diversity from overviews to experiences of labor nonetheless in growth, in addition to a survey and whole bibliography of Adams' personal paintings. those complaints shape an incredible compendium of present study in algebraic topology, and one who demonstrates the intensity of Adams' many contributions to the topic. the following within the first quantity the subject is principally volatile homotopy concept, homological and express algebra. the second one quantity is orientated towards solid homotopy concept, the Steenrod algebra and the Adams spectral series.

Show description

Read Online or Download Adams Memorial Symposium on Algebraic Topology: Volume 1 PDF

Similar topology books

Best Approximation in Inner Product Spaces

This publication advanced from notes initially built for a graduate direction, "Best Approximation in Normed Linear Spaces," that i started giving at Penn country Uni­ versity greater than 25 years in the past. It quickly grew to become obtrusive. that a few of the scholars who desired to take the path (including engineers, desktop scientists, and statis­ ticians, in addition to mathematicians) didn't have the required necessities equivalent to a operating wisdom of Lp-spaces and a few uncomplicated sensible research.

Topological automorphic forms

The authors follow a theorem of J. Lurie to supply cohomology theories linked to yes Shimura different types of sort $U(1,n-1)$. those cohomology theories of topological automorphic varieties ($\mathit{TAF}$) are relating to Shimura types within the related means that $\mathit{TMF}$ is said to the moduli house of elliptic curves.

Topological Methods, Variational Methods and Their Applications - Proceedings of the Icm2002 Satellite Conference on Nonlinear Functional Analysis

ICM 2002 satellite tv for pc convention on Nonlinear research was once held within the interval: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This convention was once geared up through Mathematical tuition of Peking collage, Academy of arithmetic and approach Sciences of chinese language Academy of Sciences, Mathematical institution of Nankai college, and division of arithmetic of Shanxi collage, and was once subsidized by means of Shanxi Province schooling Committee, Tian Yuan arithmetic beginning, and Shanxi college.

Extra info for Adams Memorial Symposium on Algebraic Topology: Volume 1

Sample text

Adams left open the question of realizability of the last two, but that was settled in the negative in John Hubbuck's thesis. 3. Finite H-spaces and algebras over the Steenrod algebra (1978, with Clarence Wilkerson) [63] Explicit necessary and sufficient algebraic conditions are given on an unstable A-algebra P which ensure that P - H*(BT)w for a torus T and finite group W. These conditions hold if P is a polynomial algebra on generators of even degree prime to p, and W is then a p-adic generalized reflection group; moreover, there is a space X such that P - H*(X).

F. Finite H-spaces and compact Lie groups 1. The sphere considered as an H-space mod p (1960) [16] The very first appearance of the localization of a space appeared here, presaging the study of finite H-spaces via localization. Adams gave the slogan "an odd sphere is an H-space mod p" as early as 1956. 2. H-spaces with few cells (1960) [21] It is shown that if H*(G; Z2) = E(xq, x,yy), q < n, then q and n are both one of 1, 3, 7, or else (q, n) = (1,2), (3, 5), (7,11), or (7,15). Adams left open the question of realizability of the last two, but that was settled in the negative in John Hubbuck's thesis.

It contains capsule introductions to a variety of topics, none of which have yet made it to any text book. The exposition is delightful, despite the elephantine jokes. "I am very grateful to J. P. May, B. J. Sanderson and S. B. Priddy for reading the first draft of this book . . ; I have benefited greatly from their comments. " It was deliberately thin on details, except for its discussion of the transfer and its quite full treatment of the Madsen, Snaith, Tornehave theorem that passage to maps of zeroth spaces gives an injection [bso, bso] -> [BSO, BSO].

Download PDF sample

Rated 4.87 of 5 – based on 37 votes
 

Author: admin