Synthetic homotopy theory

Content created by Egbert Rijke, Fredrik Bakke, Vojtěch Štěpančík, Tom de Jong, Raymond Baker and Jonathan Prieto-Cubides.

Created on 2021-12-21.
Last modified on 2024-04-10.

Files in the synthetic homotopy theory folder

module synthetic-homotopy-theory where

open import synthetic-homotopy-theory.0-acyclic-maps public
open import synthetic-homotopy-theory.0-acyclic-types public
open import synthetic-homotopy-theory.1-acyclic-types public
open import synthetic-homotopy-theory.26-descent public
open import synthetic-homotopy-theory.26-id-pushout public
open import synthetic-homotopy-theory.acyclic-maps public
open import synthetic-homotopy-theory.acyclic-types public
open import synthetic-homotopy-theory.category-of-connected-set-bundles-circle public
open import synthetic-homotopy-theory.cavallos-trick public
open import synthetic-homotopy-theory.circle public
open import synthetic-homotopy-theory.cocartesian-morphisms-arrows public
open import synthetic-homotopy-theory.cocones-under-pointed-span-diagrams public
open import synthetic-homotopy-theory.cocones-under-sequential-diagrams public
open import synthetic-homotopy-theory.cocones-under-spans public
open import synthetic-homotopy-theory.codiagonals-of-maps public
open import synthetic-homotopy-theory.coequalizers public
open import synthetic-homotopy-theory.cofibers public
open import synthetic-homotopy-theory.coforks public
open import synthetic-homotopy-theory.conjugation-loops public
open import synthetic-homotopy-theory.connected-set-bundles-circle public
open import synthetic-homotopy-theory.dependent-cocones-under-sequential-diagrams public
open import synthetic-homotopy-theory.dependent-cocones-under-spans public
open import synthetic-homotopy-theory.dependent-coforks public
open import synthetic-homotopy-theory.dependent-descent-circle public
open import synthetic-homotopy-theory.dependent-pullback-property-pushouts public
open import synthetic-homotopy-theory.dependent-pushout-products public
open import synthetic-homotopy-theory.dependent-sequential-diagrams public
open import synthetic-homotopy-theory.dependent-suspension-structures public
open import synthetic-homotopy-theory.dependent-universal-property-coequalizers public
open import synthetic-homotopy-theory.dependent-universal-property-pushouts public
open import synthetic-homotopy-theory.dependent-universal-property-sequential-colimits public
open import synthetic-homotopy-theory.dependent-universal-property-suspensions public
open import synthetic-homotopy-theory.descent-circle public
open import synthetic-homotopy-theory.descent-circle-constant-families public
open import synthetic-homotopy-theory.descent-circle-dependent-pair-types public
open import synthetic-homotopy-theory.descent-circle-equivalence-types public
open import synthetic-homotopy-theory.descent-circle-function-types public
open import synthetic-homotopy-theory.descent-circle-subtypes public
open import synthetic-homotopy-theory.double-loop-spaces public
open import synthetic-homotopy-theory.eckmann-hilton-argument public
open import synthetic-homotopy-theory.equivalences-coforks public
open import synthetic-homotopy-theory.equivalences-sequential-diagrams public
open import synthetic-homotopy-theory.flattening-lemma-coequalizers public
open import synthetic-homotopy-theory.flattening-lemma-pushouts public
open import synthetic-homotopy-theory.flattening-lemma-sequential-colimits public
open import synthetic-homotopy-theory.free-loops public
open import synthetic-homotopy-theory.functoriality-loop-spaces public
open import synthetic-homotopy-theory.functoriality-sequential-colimits public
open import synthetic-homotopy-theory.functoriality-suspensions public
open import synthetic-homotopy-theory.groups-of-loops-in-1-types public
open import synthetic-homotopy-theory.hatchers-acyclic-type public
open import synthetic-homotopy-theory.induction-principle-pushouts public
open import synthetic-homotopy-theory.infinite-complex-projective-space public
open import synthetic-homotopy-theory.infinite-cyclic-types public
open import synthetic-homotopy-theory.interval-type public
open import synthetic-homotopy-theory.iterated-loop-spaces public
open import synthetic-homotopy-theory.iterated-suspensions-of-pointed-types public
open import synthetic-homotopy-theory.join-powers-of-types public
open import synthetic-homotopy-theory.joins-of-maps public
open import synthetic-homotopy-theory.joins-of-types public
open import synthetic-homotopy-theory.loop-spaces public
open import synthetic-homotopy-theory.maps-of-prespectra public
open import synthetic-homotopy-theory.mere-spheres public
open import synthetic-homotopy-theory.morphisms-coforks public
open import synthetic-homotopy-theory.morphisms-descent-data-circle public
open import synthetic-homotopy-theory.morphisms-sequential-diagrams public
open import synthetic-homotopy-theory.multiplication-circle public
open import synthetic-homotopy-theory.null-cocones-under-pointed-span-diagrams public
open import synthetic-homotopy-theory.plus-principle public
open import synthetic-homotopy-theory.powers-of-loops public
open import synthetic-homotopy-theory.premanifolds public
open import synthetic-homotopy-theory.prespectra public
open import synthetic-homotopy-theory.pullback-property-pushouts public
open import synthetic-homotopy-theory.pushout-products public
open import synthetic-homotopy-theory.pushouts public
open import synthetic-homotopy-theory.pushouts-of-pointed-types public
open import synthetic-homotopy-theory.retracts-of-sequential-diagrams public
open import synthetic-homotopy-theory.sections-descent-circle public
open import synthetic-homotopy-theory.sequential-colimits public
open import synthetic-homotopy-theory.sequential-diagrams public
open import synthetic-homotopy-theory.sequentially-compact-types public
open import synthetic-homotopy-theory.shifts-sequential-diagrams public
open import synthetic-homotopy-theory.smash-products-of-pointed-types public
open import synthetic-homotopy-theory.spectra public
open import synthetic-homotopy-theory.sphere-prespectrum public
open import synthetic-homotopy-theory.spheres public
open import synthetic-homotopy-theory.suspension-prespectra public
open import synthetic-homotopy-theory.suspension-structures public
open import synthetic-homotopy-theory.suspensions-of-pointed-types public
open import synthetic-homotopy-theory.suspensions-of-types public
open import synthetic-homotopy-theory.tangent-spheres public
open import synthetic-homotopy-theory.total-sequential-diagrams public
open import synthetic-homotopy-theory.triple-loop-spaces public
open import synthetic-homotopy-theory.truncated-acyclic-maps public
open import synthetic-homotopy-theory.truncated-acyclic-types public
open import synthetic-homotopy-theory.universal-cover-circle public
open import synthetic-homotopy-theory.universal-property-circle public
open import synthetic-homotopy-theory.universal-property-coequalizers public
open import synthetic-homotopy-theory.universal-property-pushouts public
open import synthetic-homotopy-theory.universal-property-sequential-colimits public
open import synthetic-homotopy-theory.universal-property-suspensions public
open import synthetic-homotopy-theory.universal-property-suspensions-of-pointed-types public
open import synthetic-homotopy-theory.wedges-of-pointed-types public

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