level set

Let $A$ and $B$ be sets and $f$ a function mapping $A$ into $B$. Then the sets

$$\{x\mid f(x)=y\}$$

where $y\in B$ are known as the level sets (or fibres) of $f$.

Title	level set
Canonical name	LevelSet
Date of creation	2013-03-22 14:53:20
Last modified on	2013-03-22 14:53:20
Owner	yark (2760)
Last modified by	yark (2760)
Numerical id	6
Author	yark (2760)
Entry type	Definition
Classification	msc 03E20
Related topic	Fibre
Related topic	ContourLine