Implication Details
Claim: If a category is thin, then it has equalizers and has a generating set and is left cancellative and is locally finite and is one-way.
Proof: This is trivial.
Show 20 categories using this implication
- category of fields
- category of finite ordered sets
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- partially ordered collection of ordinal numbers
- partially ordered set of extended natural numbers
- partially ordered set of natural numbers
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism
- walking span
- walking splitting