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In mathematics, a monoidal category (or tensor category) is a category C {\displaystyle \mathbf {C} } equipped with a bifunctor
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Explore the main themes, entities and connections around Monoidal category. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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monoidal category product object displaystyle categories monoid unit identity tensor isomorphism objects natural aggregate coherence spaces theory strict set serving
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Monoidal category | is a | category C | 0.90 | text |
| Monoidal category | is a | monoid w.r.t. the tensor product.Any commutative monoid | 0.90 | text |
| Monoidal category | is a | monoidal category where the functor X | 0.90 | text |
| Set | instance of | Examples include cartesian closed categories | 0.80 | text |
| the category of sets | instance of | Examples include cartesian closed categories | 0.80 | text |
| and compact closed categories such as FdVect | instance of | Examples include cartesian closed categories | 0.80 | text |
| the category of finite-dimensional vector spaces.Autonomous categories | instance of | Examples include cartesian closed categories | 0.80 | text |
| Monoidal category | related to Examples | Any | 0.60 | section |
| Monoidal category | related to Examples | Such | 0.60 | section |
| Monoidal category | related to Examples | For | 0.60 | section |
| Monoidal category | related to Examples | Set | 0.60 | section |
| Monoidal category | related to Examples | Cartesian | 0.60 | section |
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