Implication details
Claim: If a category is core-connected, then it is strongly connected.
Proof: This is trivial.
Show 50 categories using this implication
- trivial category
- discrete category on two objects
- category of algebras
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- category of commutative algebras
- category of commutative rings
- category of F(I)-sets
- category of finite sets and injections
- category of finite ordered sets
- category of finite sets
- category of finite sets of even cardinality
- category of fields of characteristic zero
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of metric spaces with non-expansive maps
- category of extended metric spaces
- category of pseudo-metric spaces with non-expansive maps
- category of partially ordered sets without isolated points
- category of quivers
- category of quivers with finite components
- category of rings
- category of schemes
- category of semigroups
- category of sequences of sets
- category of connected sequences of sets
- category of set functions and commutative squares
- category of sets and bijections
- discrete category of sets
- category of large families of sets
- category of large families of sets and bijections
- category of large families of sets which are mostly empty
- category of large families of sets which are mostly singletons
- category of sets with finite-to-one maps
- indiscrete category of sets
- category of pairs of sets
- category of empty-or-finite pairs of sets
- category of sheaves
- category of combinatorial species
- category of Z-functors
- category of finite Z-sets
- cocompletion of a discrete–pair join
- walking fork
- walking idempotent
- walking isomorphism
- walking parallel pair