1. A universal property for $Sp(2)$ at the prime $3$
- Author
-
Stephen Theriault and Jelena Grbić
- Subjects
Subcategory ,Pure mathematics ,Homotopy category ,Homotopy ,$H$-map ,Whitehead theorem ,$H$-space ,Whitehead product ,Mathematics::Algebraic Topology ,Algebra ,n-connected ,Mathematics (miscellaneous) ,Mathematics::K-Theory and Homology ,Mathematics::Category Theory ,Universal property ,55P45 ,Commutative property ,55Q15 ,Mathematics - Abstract
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.
- Published
- 2009
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