Implication Details
Claim: If a category is epi-regular, then it is balanced.
Proof: This follows from the dual implication.
This implication has a dual.
Show 68 categories using this implication
- category of algebras
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- category of Banach spaces with linear contractions
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of small categories
- category of coproducts of Euclidean spaces
- category of finite sets and surjections
- category of filtered vector spaces
- category of finite sets
- category of fields
- category of fields of characteristic zero
- category of free abelian groups
- category of finitely generated free abelian groups
- category of finitely generated free modules over Z x Z
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of M-sets
- category of smooth manifolds
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of sets with a distinguished subset
- 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 partially ordered sets
- category of partially ordered sets without isolated points
- category of preordered sets
- category of quivers
- category of quivers with finite components
- category of rings
- category of rngs
- category of schemes
- category of semigroups
- category of sequences of sets
- category of sets
- category of set functions and commutative squares
- category of large families of sets which are mostly empty
- category of sets with finite-to-one maps
- category of pairs of sets
- category of empty-or-finite pairs of sets
- category of sheaves
- category of combinatorial species
- category of topological spaces
- category of pointed topological spaces
- category of torsion-free abelian groups
- category of uniform spaces
- category of Z-sets
- preordered set of integers w.r.t. divisibility
- cocompletion of a discrete–pair join
- forked commutative square
- real interval [0,1]
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking fork
- walking morphism
- walking parallel pair
- walking span