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Abelian Properties of Anick Spaces

Brayton Gray University of Illinois, Chicago
Available Formats:
Electronic ISBN: 978-1-4704-3633-9
Product Code: MEMO/246/1162.E
List Price: $75.00 MAA Member Price:$67.50
AMS Member Price: $45.00 Click above image for expanded view Abelian Properties of Anick Spaces Brayton Gray University of Illinois, Chicago Available Formats:  Electronic ISBN: 978-1-4704-3633-9 Product Code: MEMO/246/1162.E  List Price:$75.00 MAA Member Price: $67.50 AMS Member Price:$45.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 2462016; 111 pp
MSC: Primary 55;

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. This work describes 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).

• Chapters
• 1. Introduction
• 2. Abelian Structures
• 3. Whitehead Products
• 4. Index $p$ approximation
• 5. Simplification
• 6. Constructing $\gamma _k$
• 7. Universal Properties
• A. The Case $n=1$ and the Case $p=3$

• Requests

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Volume: 2462016; 111 pp
MSC: Primary 55;

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. This work describes 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).

• Chapters
• 1. Introduction
• 2. Abelian Structures
• 3. Whitehead Products
• 4. Index $p$ approximation
• 5. Simplification
• 6. Constructing $\gamma _k$
• 7. Universal Properties
• A. The Case $n=1$ and the Case $p=3$
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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