TY - BOOK ID - 147838922 TI - Abelian properties of Anick spaces PY - 2017 SN - 1470436337 PB - Providence, Rhode Island : American Mathematical Society, DB - UniCat KW - Abelian groups. KW - Topological groups. KW - Topological spaces. KW - Loop spaces. KW - H-spaces. UR - https://www.unicat.be/uniCat?func=search&query=sysid:147838922 AB - 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). ER -