# data-category: Category theory

Versions | 0.0.1, 0.0.2, 0.0.3, 0.0.3.1, 0.1.0, 0.2.0, 0.3.0, 0.3.0.1, 0.3.0.2, 0.3.1, 0.3.1.1, 0.4, 0.4.1, 0.5.0, 0.5.1, 0.5.1.0, 0.5.1.1, 0.6.0, 0.6.1, 0.6.2, 0.7 |
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Dependencies | None [details] |

License | BSD-3-Clause |

Author | Sjoerd Visscher |

Maintainer | sjoerd@w3future.com |

Category | Math |

Home page | http://github.com/sjoerdvisscher/data-category |

Bug tracker | http://github.com/sjoerdvisscher/data-category/issues |

Source repo | head: git clone git://github.com/sjoerdvisscher/data-category.git |

Uploaded | by SjoerdVisscher at Tue Dec 18 19:45:34 UTC 2012 |

Distributions | NixOS:0.7 |

Downloads | 7325 total (73 in the last 30 days) |

Rating | (no votes yet) [estimated by rule of succession] |

Your Rating | |

Status | Docs uploaded by user Build status unknown [no reports yet] Hackage Matrix CI |

Data-category is a collection of categories, and some categorical constructions on them.

You can restrict the types of the objects of your category by using a GADT for the arrow type. To be able to proof to the compiler that a type is an object in some category, objects also need to be represented at the value level. The corresponding identity arrow of the object is used for that.

See the `Boolean`

and `Product`

categories for some examples.

Note: Strictly speaking this package defines Hask-enriched categories, not ordinary categories (which are Set-enriched.)
In practice this means we are allowed to ignore `undefined`

(f.e. when talking about uniqueness of morphisms),
and we can treat the categories as normal categories.

## Modules

*Data*- Data.Category
- Data.Category.Adjunction
- Data.Category.Boolean
- Data.Category.CartesianClosed
- Data.Category.Comma
- Data.Category.Coproduct
- Data.Category.Dialg
- Data.Category.Fix
- Data.Category.Functor
- Data.Category.Kleisli
- Data.Category.Limit
- Data.Category.Monoidal
- Data.Category.NNO
- Data.Category.NaturalTransformation
- Data.Category.Presheaf
- Data.Category.Product
- Data.Category.RepresentableFunctor
- Data.Category.Simplex
- Data.Category.Unit
- Data.Category.Void
- Data.Category.Yoneda

- Data.Category

[Index]

## Downloads

- data-category-0.5.1.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)