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Abelian Properties of Anick Spaces

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Abelian Properties of Anick Spaces

Brayton Gray, "Abelian Properties of Anick Spaces"
2017 | ISBN-10: 1470423081 | 111 pages | PDF | 1 MB

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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Tags: Abelian, Properties, Spaces

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