subcategory,supercategory,kind Ab,Set,Abelian groups SAb,SSet,Abelian groups LieAlg_k,Vect_k,Lie algebras LieRing,Ab,Lie algebras SLieAlg_k,SSet,Lie algebras SupLieAlg_k,SupVect_k,Lie algebras BanRing,CompNormGrp,commutative monoids CMon,Set,commutative monoids CRing,Ab,commutative monoids CommAlg(Ab),Mod(Ab),commutative monoids DGCAlg,Ch.(Vect_k),commutative monoids NormRing,NormGrp,commutative monoids 1,1,contravariant equivalence CompBoolAlg,FinSet,contravariant equivalence FinSet,CompBoolAlg,contravariant equivalence Frm,Loc,contravariant equivalence Hilb,Hilb,contravariant equivalence Loc,Frm,contravariant equivalence Perm,Perm,contravariant equivalence Prof,Prof,contravariant equivalence Rel,Rel,contravariant equivalence Span(Set),Span(Set),contravariant equivalence nCob,nCob,contravariant equivalence Bij,Set,core Hilb₀,Hilb,core Perm,FinSet,core SymmRel,Rel,core FinVect_k,Mat_k,equivalence Mat_k,FinVect_k,equivalence PDiff,PL,equivalence PL,PDiff,equivalence Pfn,Set*,equivalence Set*,Pfn,equivalence SoberTop,SpLoc,equivalence SpLoc,SoberTop,equivalence Inj,Set,essentially wide Pfn,Rel,essentially wide Surj,Set,essentially wide Ban_k,Ste,full BoolAlg,Lat,full BrMonCat,MonCat,full Field,CRing,full FinGrp,Grp,full FinHilb,Hilb,full FinSet,Set,full FinVect_k,Vect_k,full FinVect_q,FinVect_k,full Haus,Top,full Hilb,Ban_k,full Ho(Grpd),Ho(Cat),full PROP,CPROP,full Quiv,Cat,full RCat,Cat,full SoberTop,Top,full SpLoc,Loc,full Ste,TopVect,full SymmMonCat,BrMonCat,full Vect_k,Mod(Ab),full Δ,Cat,full Ab,Ab,groups Ab,Grp,groups Ab,Mon,groups FinGrp,FinSet,groups Grp,Set,groups LieGrp,Man,groups SGrp,SSet,groups TopGrp,Top,groups Alg(Ab),Mod(Ab),monoids CMon,Mon,monoids Mon,Set,monoids MonCat,Cat,monoids Ring,Ab,monoids TopMon,Top,monoids *Aut,SymmMonCat,plain AbTor,Ab,plain AbTor,Tor,plain AdicCRing,AdicRing,plain AdicRing,TopRing,plain AdmRep,RT(K₂),plain Ass,Eff,plain Aut,Set,plain Ban_k,Met,plain BoolAlg,DistLat,plain BoolAlg,HeytAlg,plain CMon,Ab,plain CMon,Set*,plain CPO,DCPO,plain CW,Comp,plain CartSp,Ban_k,plain CartSp,Diff,plain CartSp,Vect_k,plain Cat,2Cat,plain Cat,BiCat,plain Comp,Haus,plain CompBoolAlg,BoolAlg,plain CompBoolAlg,CompLat,plain CompCat,*Aut,plain CompCat,TracedSymmMonCat,plain CompLat,Lat,plain DCPO,Pos,plain DGph,Quiv,plain