basic constructions:
strong axioms
further
Given a set $X$, the empty function to $X$ is a function
This always exists and is unique; in other words, the empty set is an initial object in the category of sets.
If regarded as a bundle, the empty function is the empty bundle over its codomain.
In generalization to ambient categories other that Sets, an empty morphism would be any morphism out of a strict initial object.
The empty function to the empty set is not a constant function.
Last revised on April 16, 2021 at 06:50:26. See the history of this page for a list of all contributions to it.