subcategory,supercategory,kind CompCat,*Aut,plain 1,1,contravariant equivalence Cat,2Cat,plain DblCat,2Cat,plain Ab,Ab,groups AbTor,Ab,plain AbTorF,Ab,reflection CMon,Ab,plain CRing,Ab,commutative monoids LieRing,Ab,Lie algebras Ring,Ab,monoids AdicCRing,AdicRing,plain EffAdmRep,AdmRep,plain Top,AdmRep,plain Top,AdmRep,total restriction Set,Ass,plain BanAlg,Ban_k,semigroups CartSp,Ban_k,plain Hilb,Ban_k,full Cat,BiCat,plain CompBoolAlg,BoolAlg,plain SymmMonCat,BrMonCat,full SemiLat,CMon,plain PROP,CPROP,full Field,CRing,full DagCat,Cat,plain MonCat,Cat,monoids Pos,Cat,plain Quiv,Cat,full RCat,Cat,full Set,Cat,plain Δ,Cat,full DGCAlg,Ch.(Vect_k),commutative monoids CW,Comp,plain TopMan,Comp,plain FinSet,CompBoolAlg,contravariant equivalence DagCompCat,CompCat,plain CompBoolAlg,CompLat,plain SupLat,CompLat,plain BanRing,CompNormGrp,commutative monoids CPO,DCPO,plain DagCompCat,DagCat,plain CartSp,Diff,plain BoolAlg,DistLat,plain Frm,DistLat,plain Ass,Eff,plain Δ,FinOrd,plain CompBoolAlg,FinSet,contravariant equivalence FinGrp,FinSet,groups FinOrd,FinSet,skeleton Perm,FinSet,core FinVect_q,FinVect_k,full Mat_k,FinVect_k,equivalence Mat_k,FinVect_k,skeleton Loc,Frm,contravariant equivalence Ab,Grp,groups Ab,Grp,reflection FinGrp,Grp,full Tor,Grp,plain Comp,Haus,plain Tych,Haus,plain BoolAlg,HeytAlg,plain FinHilb,Hilb,full Hilb,Hilb,contravariant equivalence Hilb₀,Hilb,core Ho(Grpd),Ho(Cat),full EffAdmRep,KV,plain SymLMet,LMet,plain BoolAlg,Lat,full CompLat,Lat,plain DistLat,Lat,plain Frm,Loc,contravariant equivalence SpLoc,Loc,full Diff,Man,plain LieGrp,Man,groups Poiss,Man,plain Mat_k,Mat_R,plain Mat_R,Mat_SR,plain Mat_k,Mat_SR,plain FinVect_k,Mat_k,equivalence Ban_k,Met,plain CompMet,Met,reflection Alg(Ab),Mod(Ab),monoids CommAlg(Ab),Mod(Ab),commutative monoids Vect_k,Mod(Ab),full Ab,Mon,groups CMon,Mon,monoids Grp,Mon,plain BrMonCat,MonCat,full PROP,MonCat,plain NormRing,NormGrp,commutative monoids Man,PDiff,plain PL,PDiff,equivalence PDiff,PL,equivalence Perm,Perm,contravariant equivalence Set,Pfn,total restriction Set*,Pfn,equivalence DCPO,Pos,plain HeytAlg,Pos,plain Lat,Pos,plain SemiLat,Pos,plain Δ,Pos,plain Prof,Prof,contravariant equivalence Pos,Pros,skeleton Met,PseudoMet,plain DGph,Quiv,plain Eff,RT(K₁),plain AdmRep,RT(K₂),plain KV,RT(K₂),plain Pfn,Rel,essentially wide Rel,Rel,contravariant equivalence SymmRel,Rel,core CRing,Ring,reflection Ring,Rng,plain Cat,SSet,reflection SAb,SSet,Abelian groups SGrp,SSet,groups SLieAlg_k,SSet,Lie algebras SRing,SSet,rings SMan,STop,plain Mon,SemiGrp,plain Lat,SemiLat,plain Ring,SemiRing,plain Ab,Set,Abelian groups Aut,Set,plain Bij,Set,core CMon,Set,commutative monoids FinSet,Set,full Grp,Set,groups Inj,Set,essentially wide Mon,Set,monoids Pos,Set,plain Pros,Set,plain Ring,Set,rings SemiGrp,Set,semigroups SemiRing,Set,plain Surj,Set,essentially wide Top,Set,plain CMon,Set*,plain Pfn,Set*,equivalence Set,Set*,plain SpLoc,SoberTop,equivalence SoberTop,SpLoc,equivalence Span(Set),Span(Set),contravariant equivalence Ban_k,Ste,full Frm,SupLat,plain Quant,SupLat,semigroups SupLieAlg_k,SupVect_k,Lie algebras PseudoMet,SymLMet,plain *Aut,SymmMonCat,plain TracedSymmMonCat,SymmMonCat,plain Comp,Top,reflection Haus,Top,full LMet,Top,plain PDiff,Top,plain SoberTop,Top,full TopGrp,Top,groups TopMon,Top,monoids TopRing,Top,rings TopVect,Top,plain AdicRing,TopRing,plain Ste,TopVect,full AbTor,Tor,plain CompCat,TracedSymmMonCat,plain CartSp,Vect_k,plain FinVect_k,Vect_k,full LieAlg_k,Vect_k,Lie algebras nCob,nCob,contravariant equivalence