# saturated (set)

If $p:X\longrightarrow Y$ 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) Saturatedset 2013-03-22 12:55:20 2013-03-22 12:55:20 drini (3) drini (3) 5 drini (3) Definition msc 03E99 saturated