Structured types
Content created by Egbert Rijke, Fredrik Bakke, Jonathan Prieto-Cubides, Tom de Jong, Victor Blanchi and Vojtěch Štěpančík.
Created on 2022-05-07.
Last modified on 2024-10-09.
{-# OPTIONS --guardedness #-}
Modules in the structured types namespace
module structured-types where open import structured-types.cartesian-products-types-equipped-with-endomorphisms public open import structured-types.central-h-spaces public open import structured-types.commuting-squares-of-pointed-homotopies public open import structured-types.commuting-squares-of-pointed-maps public open import structured-types.commuting-triangles-of-pointed-maps public open import structured-types.conjugation-pointed-types public open import structured-types.constant-pointed-maps public open import structured-types.contractible-pointed-types public open import structured-types.cyclic-types public open import structured-types.dependent-globular-types public open import structured-types.dependent-products-h-spaces public open import structured-types.dependent-products-pointed-types public open import structured-types.dependent-products-wild-monoids public open import structured-types.dependent-reflexive-globular-types public open import structured-types.dependent-types-equipped-with-automorphisms public open import structured-types.equality-globular-types public open import structured-types.equivalences-globular-types public open import structured-types.equivalences-h-spaces public open import structured-types.equivalences-pointed-arrows public open import structured-types.equivalences-types-equipped-with-automorphisms public open import structured-types.equivalences-types-equipped-with-endomorphisms public open import structured-types.faithful-pointed-maps public open import structured-types.fibers-of-pointed-maps public open import structured-types.finite-multiplication-magmas public open import structured-types.function-h-spaces public open import structured-types.function-magmas public open import structured-types.function-wild-monoids public open import structured-types.globular-types public open import structured-types.h-spaces public open import structured-types.initial-pointed-type-equipped-with-automorphism public open import structured-types.involutive-type-of-h-space-structures public open import structured-types.involutive-types public open import structured-types.iterated-cartesian-products-types-equipped-with-endomorphisms public open import structured-types.iterated-pointed-cartesian-product-types public open import structured-types.large-globular-types public open import structured-types.large-reflexive-globular-types public open import structured-types.large-symmetric-globular-types public open import structured-types.large-transitive-globular-types public open import structured-types.magmas public open import structured-types.maps-globular-types public open import structured-types.maps-large-globular-types public open import structured-types.mere-equivalences-types-equipped-with-endomorphisms public open import structured-types.morphisms-h-spaces public open import structured-types.morphisms-magmas public open import structured-types.morphisms-pointed-arrows public open import structured-types.morphisms-twisted-pointed-arrows public open import structured-types.morphisms-types-equipped-with-automorphisms public open import structured-types.morphisms-types-equipped-with-endomorphisms public open import structured-types.morphisms-wild-monoids public open import structured-types.noncoherent-h-spaces public open import structured-types.opposite-pointed-spans public open import structured-types.pointed-2-homotopies public open import structured-types.pointed-cartesian-product-types public open import structured-types.pointed-dependent-functions public open import structured-types.pointed-dependent-pair-types public open import structured-types.pointed-equivalences public open import structured-types.pointed-families-of-types public open import structured-types.pointed-homotopies public open import structured-types.pointed-isomorphisms public open import structured-types.pointed-maps public open import structured-types.pointed-retractions public open import structured-types.pointed-sections public open import structured-types.pointed-span-diagrams public open import structured-types.pointed-spans public open import structured-types.pointed-types public open import structured-types.pointed-types-equipped-with-automorphisms public open import structured-types.pointed-unit-type public open import structured-types.pointed-universal-property-contractible-types public open import structured-types.postcomposition-pointed-maps public open import structured-types.precomposition-pointed-maps public open import structured-types.reflexive-globular-types public open import structured-types.sets-equipped-with-automorphisms public open import structured-types.small-pointed-types public open import structured-types.symmetric-elements-involutive-types public open import structured-types.symmetric-globular-types public open import structured-types.symmetric-h-spaces public open import structured-types.transitive-globular-types public open import structured-types.transposition-pointed-span-diagrams public open import structured-types.types-equipped-with-automorphisms public open import structured-types.types-equipped-with-endomorphisms public open import structured-types.uniform-pointed-homotopies public open import structured-types.universal-property-pointed-equivalences public open import structured-types.unpointed-maps public open import structured-types.whiskering-pointed-2-homotopies-concatenation public open import structured-types.whiskering-pointed-homotopies-composition public open import structured-types.wild-category-of-pointed-types public open import structured-types.wild-groups public open import structured-types.wild-loops public open import structured-types.wild-monoids public open import structured-types.wild-quasigroups public open import structured-types.wild-semigroups public
Recent changes
- 2024-10-09. Fredrik Bakke. Extensionality of globular types (#1190).
- 2024-09-23. Fredrik Bakke. Some typos, wording improvements, and brief prose additions (#1186).
- 2024-09-06. Fredrik Bakke. Define the noncoherent wild precategory of pointed types (#1179).
- 2024-09-03. Egbert Rijke. Some infrastructure for dependent globular types (#1176).
- 2024-06-16. Fredrik Bakke and Vojtěch Štěpančík. Noncoherent wild higher precategories (#1099).