plateau

A plateau of a function is a region where a function has constant value.

More formally, let $U$ and $V$ be topological spaces. A plateau for a scalar function $f:U\to V$ is a path-connected set of points $P\subseteq U$ such that for some $y$ we have

$$\forall p\in P,f(p)=y$$ (1)

Please take note that this entry is not authoritative. If you know of a more standard definition of “plateau”, please contribute it, thank you.

Title	plateau
Canonical name	Plateau
Date of creation	2013-03-22 12:59:48
Last modified on	2013-03-22 12:59:48
Owner	bshanks (153)
Last modified by	bshanks (153)
Numerical id	8
Author	bshanks (153)
Entry type	Definition
Classification	msc 90-00
Classification	msc 26B12
Related topic	Extremum