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
DagCat,Cat,plain
DagCompCat,CompCat,plain
DagCompCat,DagCat,plain
DblCat,2Cat,plain
Diff,Man,plain
DistLat,Lat,plain
Eff,RT(K₁),plain
EffAdmRep,AdmRep,plain
EffAdmRep,KV,plain
Frm,DistLat,plain
Frm,SupLat,plain
Grp,Mon,plain
HeytAlg,Pos,plain
KV,RT(K₂),plain
LMet,Top,plain
Lat,Pos,plain
Lat,SemiLat,plain
Man,PDiff,plain
Mat_R,Mat_SR,plain
Mat_k,Mat_R,plain
Mat_k,Mat_SR,plain
Met,PseudoMet,plain
Mon,SemiGrp,plain
PDiff,Top,plain
PROP,MonCat,plain
Poiss,Man,plain
Pos,Cat,plain
Pos,Set,plain
Pros,Set,plain
PseudoMet,SymLMet,plain
Ring,Rng,plain
Ring,SemiRing,plain
SMan,STop,plain
SemiLat,CMon,plain
SemiLat,Pos,plain
SemiRing,Set,plain
Set,Ass,plain
Set,Cat,plain
Set,Set*,plain
SupLat,CompLat,plain
SymLMet,LMet,plain
Top,AdmRep,plain
Top,Set,plain
TopMan,Comp,plain
TopVect,Top,plain
Tor,Grp,plain
TracedSymmMonCat,SymmMonCat,plain
Tych,Haus,plain
Δ,FinOrd,plain
Δ,Pos,plain
Ab,Grp,reflection
AbTorF,Ab,reflection
CRing,Ring,reflection
Cat,SSet,reflection
Comp,Top,reflection
CompMet,Met,reflection
Ring,Set,rings
SRing,SSet,rings
TopRing,Top,rings
BanAlg,Ban_k,semigroups
Quant,SupLat,semigroups
SemiGrp,Set,semigroups
FinOrd,FinSet,skeleton
Mat_k,FinVect_k,skeleton
Pos,Pros,skeleton
Set,Pfn,total restriction
Top,AdmRep,total restriction