Implication details
Claim: If a category is semi-strongly connected, then it is connected.
Proof: This is immediate from the definition.
Show 54 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- category of finite sets and bijections
- 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 sets equipped with a reflexive binary relation
- category of sets equipped with a symmetric reflexive binary relation
- category of small categories
- category of compact Hausdorff spaces
- category of coproducts of Euclidean spaces
- category of finite sets and injections
- category of finite sets and surjections
- category of finite sets
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- 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
- 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 partially ordered sets
- category of partially ordered sets without isolated points
- category of preordered sets
- category of sequences of sets
- category of connected sequences of sets
- category of sets
- category of set functions and commutative squares
- category of sets and bijections
- category of countable sets
- category of large families of sets and bijections
- category of sets with finite-to-one maps
- indiscrete category of sets
- category of non-empty sets
- category of topological spaces
- category of uniform spaces
- real interval [0,1]
- category of simplicial sets
- walking composable pair
- walking fork
- walking idempotent
- walking isomorphism
- walking morphism
- walking parallel pair