saturated (set)

If $p:X⟶Y$ is a surjective map, we say that a subset $C\subseteq X$ is saturated (with respect to p) if $C$ contains every set $p^{-1}(\{y\})$ it intersects. Equivalently, $C$ is saturated if it is a union of fibres.

Title	saturated (set)
Canonical name	Saturatedset
Date of creation	2013-03-22 12:55:20
Last modified on	2013-03-22 12:55:20
Owner	drini (3)
Last modified by	drini (3)
Numerical id	5
Author	drini (3)
Entry type	Definition
Classification	msc 03E99
Synonym	saturated