The identity type weak factorisation system

Nicola Gambino, Richard Garner, Nicola Gambino

Risultato della ricerca: Articlepeer review

49 Citazioni (Scopus)

Abstract

We show that the classifying category C(T) of a dependent type theory T with axioms for identity types admits a non-trivial weak factorisation system. We provide an explicit characterisation of the elements of both the left class and the right class of the weak factorisation system. This characterisation is applied to relate identity types and the homotopy theory of groupoids.
Lingua originaleEnglish
pagine (da-a)94-109
Numero di pagine15
RivistaTheoretical Computer Science
Volume2008
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
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