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math.CT2010
Categories of partial algebras for critical points between varieties of algebras
Pierre Gillibert
A lifting of a semilattice S is an algebra A such that the semilattice of compact (=finitely generated) congruences of A is isomorphic to S. The aim of this work is to give a categ…
math.LO2010★ 6 cited
The possible values of critical points between varieties of lattices
Pierre Gillibert
We denote by Conc(L) the semilattice of all finitely generated congruences of a lattice L. For varieties (i.e., equational classes) V and W of lattices such that V is contained nei…
math.CT2010
From objects to diagrams for ranges of functors
Pierre Gillibert, Friedrich Wehrung
Let A, B, S be categories, let F:A-->S and G:B-->S be functors. We assume that for "many" objects a in A, there exists an object b in B such that F(a) is isomorphic to G(b). We est…