subcategory,supercategory,kind MonCat,Cat,monoids NormRing,NormGrp,commutative monoids PDiff,PL,equivalence PDiff,Top,plain PL,PDiff,equivalence PROP,CPROP,full PROP,MonCat,plain Perm,FinSet,core Perm,Perm,contravariant equivalence Pfn,Rel,essentially wide Pfn,Set*,equivalence Poiss,Man,plain Pos,Cat,plain Pos,Pros,skeleton Pos,Set,plain Prof,Prof,contravariant equivalence Pros,Set,plain PseudoMet,SymLMet,plain Quant,SupLat,semigroups Quiv,Cat,full RCat,Cat,full Rel,Rel,contravariant equivalence Ring,Ab,monoids Ring,Rng,plain Ring,SemiRing,plain Ring,Set,rings SAb,SSet,Abelian groups SGrp,SSet,groups SLieAlg_k,SSet,Lie algebras SMan,STop,plain SRing,SSet,rings SemiGrp,Set,semigroups SemiLat,CMon,plain SemiLat,Pos,plain SemiRing,Set,plain Set,Ass,plain Set,Cat,plain Set,Pfn,total restriction Set,Set*,plain Set*,Pfn,equivalence SoberTop,SpLoc,equivalence SoberTop,Top,full SpLoc,Loc,full SpLoc,SoberTop,equivalence Span(Set),Span(Set),contravariant equivalence Ste,TopVect,full SupLat,CompLat,plain SupLieAlg_k,SupVect_k,Lie algebras Surj,Set,essentially wide SymLMet,LMet,plain SymmMonCat,BrMonCat,full SymmRel,Rel,core Top,AdmRep,plain Top,AdmRep,total restriction Top,Set,plain TopGrp,Top,groups TopMan,Comp,plain TopMon,Top,monoids TopRing,Top,rings TopVect,Top,plain Tor,Grp,plain TracedSymmMonCat,SymmMonCat,plain Tych,Haus,plain Vect_k,Mod(Ab),full nCob,nCob,contravariant equivalence Δ,Cat,full Δ,FinOrd,plain Δ,Pos,plain