2.8 KiB
Changelog
Version 1.4.1
Defines a module to work with equivalence providing a way to go between equivalences and quasi-inverses (in the parlance of HoTT).
Finishes the proof that the category of homotopy-sets are univalent.
Defines a custom "prelude" module that wraps the cubical
library and provides
a few utilities.
Reorders Category.isIdentity such that the left projection is left identity.
Include some text for the half-time report.
Renames IsProduct.isProduct to IsProduct.ump to avoid ambiguity in some circumstances.
[WIP]: Adds some stuff about propositionality for products.
Version 1.4.0
Adds documentation to a number of modules.
Adds an "equality principle" for categories and monads.
Prove that IsMonad
is a mere proposition.
Provides the yoneda embedding without relying on the existence of a category of categories. This is acheived by providing some of the data needed to make a ccc out of the category of categories without actually having such a category.
Renames functors object map and arrow map to omap
and fmap
.
Prove that kleisli- and monoidal- monads are equivalent!
[WIP] Started working on the proofs for univalence for the category of sets and the category of functors.
Version 1.3.0
Removed unused modules and streamlined things more: All specific categories are
in the namespace Cat.Categories
.
Lemmas about categories are now in the appropriate record e.g. IsCategory
.
Also changed how category reexports stuff.
Rename the module Properties to Yoneda - because that's all it talks about now.
Rename Opposite to opposite
Add documentation in Category-module
Formulation of monads in two ways; the "monoidal-" and "kleisli-" form.
WIP: Equivalence of these two formulations
Also use hSets in a few concrete categories rather than just pure Set
.
Version 1.2.0
This version is mainly a huge refactor.
I've renamed
distrib
toisDistributive
arrowIsSet
toarrowsAreSets
ident
toisIdentity
assoc
toisAssociative
And added "type-synonyms" for all of these. Their names should now match their
type. So e.g. isDistributive
has type IsDistributive
.
I've also changed how names are exported in Functor
to be in line with
Category
.
Version 1.1.0
In this version categories have been refactored - there's now a notion of a raw category, and a proper category which has the data (raw category) as well as the laws.
Furthermore the type of arrows must be homotopy sets and they must satisfy univalence.
I've made a module Cat.Wishlist
where I just postulate things that I hope to
implement upstream in cubical
.
I have proven that IsCategory
is a mere proposition.
I've also updated the category of sets to adhere to this new definition.