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3 papers
The Category of Iterative Sets in Homotopy Type Theory and Univalent Foundations
Daniel Gratzer, Håkon Gylterud, Anders Mörtberg +1
When working in Homotopy Type Theory and Univalent Foundations, the traditional role of the category of sets, Set, is replaced by the category hSet of homotopy sets (h-sets); types…
Univalent Material Set Theory
Håkon Robbestad Gylterud, Elisabeth Stenholm
Homotopy type theory (HoTT) can be seen as a generalisation of structural set theory, in the sense that 0-types represent structural sets within the more general notion of types. F…
Terminal Coalgebras and Non-wellfounded Sets in Homotopy Type Theory
Hakon Robbestad Gylterud, Elisabeth Stenholm, Niccolò Veltri
Non-well-founded material sets have been modelled in Martin-Löf type theory by Lindström using setoids. In this paper we construct models of non-wellfounded material sets in Homoto…