nLab
empty function

Conents

Definition

Given a set XX, the empty function to XX is the function to XX from the empty set. This always exists and is unique; in other words, the empty set is an initial object in the category of sets.

Properties

The empty function to the empty set is not a constant function.

Revised on July 27, 2013 19:45:59 by Urs Schreiber (89.204.130.27)