restriction of a function


Let f:XY be a function from a set X to a set Y. If A is a subset of X, then the restrictionPlanetmathPlanetmathPlanetmathPlanetmath of f to A is the function

f|A:A Y
x f(x).

Some authors write fA instead of f|A.


If AX, and BY, then

(f|A)-1(B) = Af-1(B).
Title restriction of a function
Canonical name RestrictionOfAFunction
Date of creation 2013-03-22 13:43:05
Last modified on 2013-03-22 13:43:05
Owner yark (2760)
Last modified by yark (2760)
Numerical id 14
Author yark (2760)
Entry type Definition
Classification msc 03E20
Synonym restriction
Related topic Pullback2
Related topic ExtensionOfAFunction