Implication Details
Claim: If a category is normal, then it has zero morphisms.
Proof: This is part of our definition of a normal category.
Show 36 categories using this implication
- category of combinatorial species
- category of compact Hausdorff spaces
- category of countable sets
- category of finite ordered sets
- category of finite sets
- category of finite sets and bijections
- category of finite sets and injections
- category of finite sets and surjections
- category of Jónsson-Tarski algebras
- category of M-sets
- category of non-empty sets
- category of pairs of sets
- category of preordered sets
- category of set functions and commutative squares
- category of sets
- category of sets with a distinguished subset
- category of sets with finite-to-one maps
- category of sheaves
- category of simplicial sets
- category of Z-functors
- delooping of a non-trivial finite group
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- discrete category on two objects
- partially ordered collection of ordinal numbers
- partially ordered set of extended natural numbers
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- simplex category
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking fork
- walking morphism
- walking parallel pair