Homology, Homotopy and Applications
Volume 11 (2009)
A universal property for $Sp(2)$ at the prime $3$
Pages: 1 – 15
We study a universal property of $Sp(2)$ in the category of $3$-local homotopy associative, homotopy commutative $H$-spaces. We show that while $Sp(2)$ fails to be universal in the full category, there is a subcategory in which it is universal for its $7$-skeleton.
$H$-space; $H$-map; Whitehead product
2010 Mathematics Subject Classification
Primary 55P45. Secondary 55Q15.
Published 1 January 2009