Monthly Archives: May 2012
Reducing all HIT’s to 1-HIT’s
For a while, Mike Shulman and I (and others) have wondered on and off whether it might be possible to represent all higher inductive types (i.e. with constructors of arbitrary dimension) using just 1-HIT’s (0- and 1-cell constructors only), somewhat … Continue reading
Posted in Higher Inductive Types
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A type theoretical Yoneda lemma
In this blog post I would like to approach dependendent types from a presheaf point of view. This allows us to take the theory of presheaves as an inspiration for results in homotopy type theory. The first result from this … Continue reading
Posted in Foundations
2 Comments