nForum - Discussion Feed (2-vector space, typo?) 2022-01-21T07:22:48-05:00 https://nforum.ncatlab.org/ Lussumo Vanilla & Feed Publisher Todd_Trimble comments on "2-vector space, typo?" (70798) https://nforum.ncatlab.org/discussion/8850/?Focus=70798#Comment_70798 2018-08-15T12:23:18-04:00 2022-01-21T07:22:48-05:00 Todd_Trimble https://nforum.ncatlab.org/account/24/ Corrected; thanks.

Corrected; thanks.

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jesuslop comments on "2-vector space, typo?" (70797) https://nforum.ncatlab.org/discussion/8850/?Focus=70797#Comment_70797 2018-08-15T12:10:57-04:00 2022-01-21T07:22:48-05:00 jesuslop https://nforum.ncatlab.org/account/1486/ Hi, in 2-vector space, before Vect-enriched categories, it says: In analogy to how a vector space WW (a kk-module) is equipped with a basis by finding a set SS such that W&simeq;[S,k]W \simeq ...

Hi, in 2-vector space, before Vect-enriched categories, it says:

In analogy to how a vector space $W$ (a $k$-module) is equipped with a basis by finding a set $S$ such that $W \simeq [S,k]$, we can think of a general monoidal category module $W$ over $V$ to be equipped with a basis by providing an equivalence $W \simeq [C,V]$, for some $V$-category $V$.

Posibly in the end it’s meant a $V$-category $C$.

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