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Results tagged with ring-spectra
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user 43054
For questions about ring spectra (in homotopy theory).
7
votes
Accepted
Morphisms from $bstring$ to $X\otimes \mathbb{Q}$ and sequences $s_n\in\pi_n(X)\otimes \math...
This is an assemblage of known results, I'll try to put a reference for all of them.
By a classical theorem of Serre all stable homotopy groups are finite in positive degree. In particular we have $ …
- 16.5k
11
votes
What is the symmetric monoidal structure on the $(\infty,1)$-category of spectra?
Let me add a short observation to Dylan's fantastic answer. There is indeed a more concrete construction of the symmetric monoidal structure on the $\infty$-category of spectra: it is the localized Da …
- 16.5k
11
votes
Accepted
Is there essentially unique notion of module over monoidal stable $\infty$-categories?
The ∞-categorical analog of the fact you mention can be found in Higher Algebra, corollary 7.3.4.14:
Let $\operatorname{CAlg}$ be the category of $E_\infty$-rings and $A\in \operatorname{CAlg}$. Then …
- 16.5k