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Results tagged with completion
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user 101848
3
votes
1
answer
139
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Ind-completion commutes with category product
$\iota_\C:\C\to\ind(\C)$ is an ind-completion. Moreover, a quasi-inverse to $\iota_{\C,*}$ as in \eqref{fun} is given by $\iota_\C^\dagger$.
Proof. …
6
votes
2
answers
348
views
Is the ind-completion of a triangulated category triangulated?
Here $\alpha:\K_S\to\ind(\K)$ is the canonical embedding of the localization of a category into its ind-completion, see e.g. [KS, Proposition 7.4.1]. … Given a triangulated category $\K$, is there some canonical triangulated structure on its ind-completion $\ind(\K)$ turning $\K\to\ind(\K)$ into a triangulated functor?
(Q2). …