Implication details
Claim: If a category is strongly connected and is thin, then it is trivial.
Proof: This is obvious.
Show 17 categories using this implication
- category of abelian groups
- category of large families of abelian groups
- category of cochain complexes of abelian groups
- category of filtered vector spaces
- partially ordered set of natural numbers
- partially ordered collection of ordinal numbers
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of sequences of abelian groups
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- walking morphism