Implication Details
Assumptions: one-way
Conclusions: core-thin
Proof: This is trivial.
Show 48 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- category of algebras
- category of finite sets and bijections
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- category of commutative algebras
- category of commutative rings
- category of small categories
- category of compact Hausdorff spaces
- category of finite sets and injections
- category of finite sets and surjections
- category of finite sets
- category of fields
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of M-sets
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- poset of natural numbers
- poset of extended natural numbers
- poset of ordinal numbers
- category of pseudo-metric spaces with non-expansive maps
- category of posets
- category of prosets
- category of rings
- category of semigroups
- category of sets
- category of countable sets
- category of non-empty sets
- category of pairs of sets
- category of sheaves
- category of combinatorial species
- category of topological spaces
- category of Z-functors
- proset of integers w.r.t. divisibility
- poset [0,1]
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking fork
- walking isomorphism
- walking morphism
- walking parallel pair
- walking span