Definition of FinVect. Meaning of FinVect. Synonyms of FinVect

- In the mathematical field of category theory, FinVect (or FdVect) is the category whose objects are all finite-dimensional vector spaces and whose morphisms...
- General set theory Lawvere theory Natural number object Simplex category FinVect Robert Goldblatt (1984). Topoi, the Categorial Analysis of Logic (Studies...
- distributional hypothesis. The original paper used the categorical product of FinVect with a pregroup seen as a posetal category. This approach has some shortcomings:...
- product. MatF is a concrete skeleton category for the equivalent category FinVectF of finite dimensional vector spaces over F, whose objects are such finite...
- has the subcategory of all cardinal numbers as a skeleton. The category K-Vect of all vector spaces over a fixed field K {\displaystyle K} has the subcategory...
- e c t k o p : ( − ) ∗ {\displaystyle (-)^{*}:\mathbf {Vect} _{k}\rightleftarrows \mathbf {Vect} _{k}^{op}:(-)^{*}} where both functors are given by sending...
- the category R-Mod of modules over a commutative ring, and the category Vect of vector spaces over a given field are enriched over themselves, where the...
- establishes this case as well. Ab: abelian groups and group homomorphisms. K-Vect: vector spaces over a field K and K-linear transformations. Mod-R: right...
- {\displaystyle [V]={\big [}k^{\dim(V)}{\big ]}\in K_{0}(\mathrm {Vect} _{\mathrm {fin} }).} Moreover, for an exact sequence 0 → k l → k m → k n → 0 {\displaystyle...