Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
I am looking for a decent account of the homotopy ring spectrum structure on $KU$ with $KU_0 = BU \times \mathbb{Z}$ that would be self-contained for a reader with good point-set topology background, but not involving $E_\infty$ or model category theory.
What I find in the literature is all sketchy, but maybe I am looking in the wrong places.
First, a discussion of the H-space structure on $BU\times \mathbb{Z}$ in the first place I find on p. 205 (213 of 251) in A Concise Course in Algebraic Topology. But for the crucial step it there only says:
we merely affirm that, by fairly elaborate arguments, one can pass to colimits to obtain a product
Is there a reference that would spell this out?
Next, for the proof of the homotopy ring spectrum structure on $KU$, the idea is indicated on the first page of
James McLure, $H_\infty$-ring spectra via space-level homotopy theory (pdf)
Is there a place where this would be spelled out in some detail?
1 to 1 of 1