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Results tagged with higher-algebra
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user 139900
5
votes
1
answer
319
views
Is there a definition of reduced $E_\infty$ ring?
[Edit: I have completely changed the question in response to the replies given]
I am curious if there is well defined notion of reduced $E_\infty$-ring.
Let $CAlg$ denote the $\infty$-category of $E_ …
- 448
10
votes
2
answers
680
views
Is the forgetful functor $\mathrm{Mod}_R \mathrm{Sp} \rightarrow \mathrm{Sp}$ faithful?
$\DeclareMathOperator{\Sp}{\mathrm{Sp}}$I am taking a special case $\Sp$ here, mainly because it has nice categorical properties.
Let $R$ be an $E_\infty$-ring spectrum. In Higher Algebra, Lurie prove …
- 448
7
votes
1
answer
611
views
When does the loop functor $\Omega^\infty:Sp(C) \rightarrow C$ commute with filtered colimits?
Let $C$ be a pointed $\infty$-category which admits finite limits.
Let $Sp(C)$ denote the $\infty$ category of spectrum objects. One way to define, i.e. 1.4.2.24, is by taking the homotopy limit in …
- 448