Implication Details
Assumptions: semi-strongly connected
Conclusions: connected
Proof: This is immediate from the definition.
Show 32 categories using this implication
- empty category
- discrete category on two objects
- category of finite sets and bijections
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- 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 smooth manifolds
- category of measurable spaces
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- poset of natural numbers
- poset of extended natural numbers
- poset of ordinal numbers
- category of posets
- category of prosets
- category of sets
- category of countable sets
- category of sets with finite-to-one maps
- category of non-empty sets
- category of topological spaces
- poset [0,1]
- category of simplicial sets
- walking composable pair
- walking fork
- walking morphism
- walking parallel pair