| eBook 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 |
| eBook 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 246; 2016; 111 ppMSC: 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).
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Table of Contents
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Chapters
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1. Introduction
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2. Abelian Structures
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3. Whitehead Products
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4. Index $p$ approximation
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5. Simplification
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6. Constructing $\gamma _k$
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7. Universal Properties
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A. The Case $n=1$ and the Case $p=3$
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Additional Material
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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 $p=3$
