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8
votes
Accepted
Inverting objects in a symmetric monoidal category
To be clear, this claim refers to a very specific construction of $\mathcal{C}[X^{-1}]$, where you copy the construction of the localization of the ring and defines it as the colimits of:
$$ \mathcal{ …
18
votes
Why the sphere spectrum is more correct than $\mathbb{Z}$?
For this to work, it is best to identify connective spectrum with spaces equipped with a group-like $E_\infty$-algebra structure (these are equivalent).
From this point of view:
$\mathbb{Z}$ is the f …