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Lifting sheaves from the basis of a distributive lattice

Open mzeuner opened this issue 2 years ago • 0 comments

This PR proves a "comparison lemma" for sheaves on distributive lattices: Given a presheaf on a basis of a distributive lattice taking values in an arbitrary category (with limits) and satisfying a sheaf property for bases, this can be extended to a sheaf on the whole lattice.

There seems to be quite a bit of overlap in the files Cubical.Categories.Presheaf.KanExtension and Cubical.Categories.Limits.RightKan the latter being a bit more general. Eventually these should be merged or the results upstreamed, but maybe that's something for a different PR?

mzeuner avatar Jul 31 '22 17:07 mzeuner