├── .gitignore ├── Agda ├── 00-preamble.agda ├── 02-pi.agda ├── 03-natural-numbers.agda ├── 04-inductive-types.agda ├── 05-identity-types.agda ├── 06-universes.agda ├── 07-finite-sets.agda ├── 08-equivalences.agda ├── 09-contractible-types.agda ├── 10-fundamental-theorem.agda ├── 11-truncation-levels.agda ├── 12-function-extensionality.agda ├── 13-propositional-truncation.agda ├── 14-univalence.agda ├── 15-groups.agda ├── 16-sets.agda ├── 17-number-theory.agda ├── 18-circle.agda ├── 19-fundamental-cover.agda ├── 20-pullbacks.agda ├── 21-pushouts.agda ├── 22-cubical-diagrams.agda ├── 22-descent.agda ├── 23-id-pushout.agda ├── 24-sequences.agda ├── HoTT-Intro.agda-lib ├── SAT-solver.agda ├── abelian-groups.agda ├── abelian-subgroups.agda ├── categories.agda ├── coinductive-types.agda ├── combinatorial-objects.agda ├── cubical-circle.agda ├── dn-sheaves.agda ├── free-group.agda ├── group-completion.agda ├── hott-i.agda ├── ideals.agda ├── integers.agda ├── lists.agda ├── localizations-rings.agda ├── models.agda ├── mwe.agda ├── polynomial-rings.agda ├── quotient-groups.agda ├── rational-numbers.agda ├── rings-with-properties.agda ├── rings.agda ├── subgroups.agda ├── subrings.agda └── subuniverses.agda ├── Arend └── herrsching │ └── src │ └── herrsching.ard ├── Book ├── axioms.tex ├── bibliography.bib ├── blakers-massey.tex ├── circle-fundamental-cover.tex ├── circle.tex ├── classifying.tex ├── connected.tex ├── contractible.tex ├── cubical.tex ├── descent.tex ├── dtt.tex ├── equivalences.tex ├── finite-types.tex ├── fundamental.tex ├── funext.tex ├── groups.tex ├── hierarchy.tex ├── higher-group-theory.tex ├── higher-pushouts.tex ├── homotopy-groups.tex ├── hopf.tex ├── hott-intro.tex ├── hott.sty ├── id-pushout.tex ├── identity.tex ├── image.tex ├── inductive.tex ├── intro.tex ├── logic.tex ├── mindmap-standalone.tex ├── mindmap.tex ├── nat.tex ├── number-theory.tex ├── observational.tex ├── open-problems.tex ├── pi.tex ├── projective.tex ├── propositional-truncation.tex ├── pullback.tex ├── pushout.tex ├── sequences.tex ├── sets.tex ├── smash.tex ├── syllabus.tex ├── truncation.tex ├── univalence.tex ├── universes-relations.tex └── van-kampen.tex ├── Coq └── HoTT_Intro │ ├── section_02_pi.v │ ├── section_03_nat.v │ ├── section_04_inductive.v │ ├── section_05_identity.v │ ├── section_06_universes.v │ ├── section_07_equivalences.v │ ├── section_08_contractible.v │ ├── section_09_fundamental_theorem.v │ ├── section_10_truncation_levels.v │ └── section_11_number_theory.v ├── License.md ├── README.md ├── _config.yml └── pdfs ├── 2018-hott-intro-course.pdf └── 2019-summer-school.pdf /.gitignore: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/EgbertRijke/HoTT-Intro/HEAD/.gitignore -------------------------------------------------------------------------------- /Agda/00-preamble.agda: -------------------------------------------------------------------------------- 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