I erroneously concluded (section “Distributivity of the Lattice of Filters” of my book) that
the base of every primary filtrator over a distributive lattice which is an ideal base is a co-frame.
Really it can be not a complete lattice, as in the example of the lattice of the poset of all small (belonging to a Grothendieck universe) sets.
I will update my book soon.
1 thought on “An error in my book”
I’ve corrected this error.