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