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Results tagged with ring-spectra
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user 14447
For questions about ring spectra (in homotopy theory).
8
votes
Orientation of complex bordism spectrum
I don't know how to comment rather than answer, but Craig, the equivalence is really not mysterious:
the zero section of the universal complex line bundle gives an equivalence from $\mathbb{C}P^{\inft …
- 30.4k
13
votes
Accepted
On the stable splitting of loops on a suspension
Hi John, this is not a complete proof, but it should give the idea of one. There is a clever proof of the splitting of suspension spectra of $\Omega^n\Sigma^n X$ due to Ralph Cohen in his
paper "Stab …
- 30.4k
5
votes
Accepted
State of knowledge on the Commutative W-spaces which appear in "Model Categories of Diagram ...
There is a very illuminating paper I did not know about when I last answered a similar question:
Tyler Lawson. ``Commutative $\Gamma$ rings do not model all commutative ring spectra". Homology,
Homoto …
- 30.4k
11
votes
Is there an analog of the Barratt-Eccles construction for group-like E_∞-spaces and E_∞-ring...
There are serious problems making your ideas coherent here! The notion of operad
was in large part intended to model kinds of algebras whose laws do not involve repeated
variables, do not involve dia …
- 30.4k
20
votes
Accepted
Is the $\infty$-category of spectra “convenient”?
My colleague Dylan answered first (I keep telling him not to spend too much time on this toy :) but I both agree and disagree with his "Yes of course". The same words are used with different meanings …
- 30.4k