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).
| ISBN: | 9781470436339 |
| Publication date: | 30th November -0001 |
| Author: | Gray, Brayton |
| Publisher: | American Mathematical Society |
| Format: | Ebook (PDF) |