map into the singleton set
For every set there is a unique map , where is the singleton set. In this entry, we require that has at least elements.
Satisfied properties
Assigned properties
- is a split epimorphism
- is constant
Deduced properties
- is a regular epimorphism
- is a strict epimorphism
- is an effective epimorphism
- is a strong epimorphism
- is an extremal epimorphism
- is an epimorphism
Unsatisfied properties
Assigned properties
- is not a monomorphism
- is not coconstant
Deduced properties*
- is not a zero morphism
- is not an extremal monomorphism
- is not a strong monomorphism
- is not a strict monomorphism
- is not a regular monomorphism
- is not a split monomorphism
- is not an effective monomorphism
- is not a normal monomorphism
- is not an isomorphism
- is not a normal epimorphism
*This also uses the deduced satisfied properties.
Unknown properties
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