Implication details
Claim: If a category is thin, then it has equalizers and has a generating collection and is left cancellative and is locally finite and is one-way.
Proof: This is trivial.
This implication has a dual.
Show 33 categories using this implication
- category of finitely generated abelian groups
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- category of finite ordered sets
- category of finite sets
- category of fields
- category of fields of characteristic zero
- category of finitely generated free abelian groups
- category of finitely generated free modules over Z x Z
- category of finitely generated groups
- category of smooth manifolds
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- category of pseudo-metric spaces with non-expansive maps
- category of finitely generated projective modules over the ring of dual numbers
- category of connected sequences of sets
- category of sets and bijections
- discrete category of sets
- category of large families of sets
- category of large families of sets and bijections
- indiscrete category of sets
- category of empty-or-finite pairs of sets
- category of combinatorial species
- preordered set of integers w.r.t. divisibility
- category of ω-sets
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism
- walking span
- walking splitting