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Results tagged with completion
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user 124549
5
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Rank of a finite group and its representations
We then say that $V$ itself generates $C$ under $\otimes$ and Cauchy completion. However, not every group has an irreducible faithful representation. … Define the rank, $\rank(C)$, to be the minimal number of irreducible elements needed to generate $C$ under $\otimes$ and Cauchy completion. …
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5
votes
1
answer
316
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Is Cauchy completion the largest extension with the same free cocompletion?
There is a better cocompletion, called the Cauchy completion $\bar{C}$. … Reference
[1] https://math.stackexchange.com/questions/3396276/presheaf-category-as-free-cocompletion
[2] Cauchy completion in category theory-[Francis Borceux and Dominique Dejean]
[3] https://mathoverflow.net …
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