A concentration of categories with non-injective monomorphisms
A conglomerate of exponential supercategories of the category of finitely generated topological spaces.
A note on direct-product decompositions
A shrinking of a category of societies is a universal partly ordered class
Accessible embeddings and the solution-set condition
Accessible set functors are universal
It is shown that every concretizable category can be fully embedded into the category of accessible set functors and natural transformations.
Almost ff-universal and q-universal varieties of modular 0-lattices
A variety 𝕍 of algebras of a finite type is almost ff-universal if there is a finiteness-preserving faithful functor F: 𝔾 → 𝕍 from the category 𝔾 of all graphs and their compatible maps such that Fγ is nonconstant for every γ and every nonconstant homomorphism h: FG → FG' has the form h = Fγ for some γ: G → G'. A variety 𝕍 is Q-universal if its lattice of subquasivarieties has the lattice of subquasivarieties of any quasivariety of algebras of a finite type as the quotient of its sublattice....