Categorical univalence of a universe does not entail function extensionality, as shown by polynomial models of type theory that refute the latter while satisfying the former.
Gluing for Type Theory
2 Pith papers cite this work, alongside 20 external citations. Polarity classification is still indexing.
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Develops constructive higher sheaf models of type theory to support synthetic mathematics with univalence and higher inductive types.
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Univalence without function extensionality
Categorical univalence of a universe does not entail function extensionality, as shown by polynomial models of type theory that refute the latter while satisfying the former.
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Constructive higher sheaf models with applications to synthetic mathematics
Develops constructive higher sheaf models of type theory to support synthetic mathematics with univalence and higher inductive types.