Implication details
Claim: If a category is trivial, then it is core-connected.
Proof: This is trivial.
Show 25 categories using this implication
- trivial category
- discrete category on two objects
- category of sets equipped with a binary relation
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a symmetric binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of finite sets and injections
- category of finite sets of even cardinality
- category of Jónsson-Tarski algebras
- category of sets with a distinguished subset
- partially ordered set of natural numbers
- category of partially ordered sets without isolated points
- category of sets and bijections
- category of large families of sets and bijections
- category of sets with finite-to-one maps
- indiscrete category of sets
- forked commutative square
- category of ω-sets
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking fork
- walking isomorphism
- walking parallel pair
- walking span