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Results tagged with ring-spectra
Search options questions only
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user 402
For questions about ring spectra (in homotopy theory).
5
votes
1
answer
771
views
Is there an analog of the Barratt-Eccles construction for group-like E_∞-spaces and E_∞-ring...
The Barratt-Eccles operad is an operad in simplicial sets
that provides a particularly nice model of an E∞-operad;
algebras in spaces over the Barratt-Eccles operad model E∞-spaces,
i.e., homotopy coh …
- 37.8k
4
votes
1
answer
1k
views
Can motivic E_∞-ring spectra be strictified to commutative motivic symmetric ring spectra?
Theorem 4.5.4.7 (4.4.4.7 in the old version) in Lurie's Higher Algebra (or Theorem 4.3.22 in DAG III) states (roughly speaking) that under certain conditions
the ∞-category of commutative ∞-monoids in …
- 37.8k
14
votes
1
answer
2k
views
Are Thom spectra MU, MSO and K-theory spectra KU, KO modules over some truncations of the sp...
The Thom spectrum MO is a module over the ring spectrum π≤0S=HZ, where S is the sphere spectrum.
In particular, MO is equivalent to the Eilenberg-MacLane spectrum Hπ*(MO).
On the other hand, MU and MS …
- 37.8k