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Book Cover
E-book
Author Gray, Brayton, 1940- author.

Title Abelian properties of Anick spaces / Brayton Gray
Published Providence, Rhode Island : American Mathematical Society, 2017
©2016

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Description 1 online resource (v, 111 pages) : illustrations
Series Memoirs of the American Mathematical Society, 0065-9266 ; volume 246, number 1162
Memoirs of the American Mathematical Society ; no. 1162.
Contents 880-01 Chapter 1. Introduction -- Chapter 2. Abelian Structures -- Chapter 3. Whitehead Products -- Chapter 4. Index p approximation -- Chapter 5. Simplification -- Chapter 6. Constructing gamma _k -- Chapter 7. Universal Properties -- Appendix A. The Case n=1 and the Case p=3
880-01/(S Cover; Title page; Chapter 1. Introduction; 1.1. Statement of Results; 1.2. History; 1.3. Methods and Modifications; 1.4. Outline of Modifications; 1.5. Conventions and Notation; Chapter 2. Abelian Structures; 2.1. Preliminaries; 2.2. Whitehead Products; 2.3. Theriault's Criterion; 2.4. Compatibility of Modifications; 2.5. Properties of and ; Chapter 3. Whitehead Products; 3.1. Defining Whitehead Products Using co- Spaces; 3.2.-space Based and Relative Whitehead Products; 3.3. Iterated Whitehead Products and the Decomposition of Ω *Ω
Summary "Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. In this work we describe their H-space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243-275)."--Publisher website
Notes "Volume 246, Number 1162 (first of 6 numbers), March 2017."
Bibliography Includes bibliographical references (pages 109-110) and index
Notes Print version record
Subject Abelian groups.
Topological groups.
Topological spaces.
Loop spaces.
H-spaces.
Abelian groups
H-spaces
Loop spaces
Topological groups
Topological spaces
Form Electronic book
Author American Mathematical Society, publisher
ISBN 9781470436339
1470436337