constant function

Definition Suppose X and Y are sets and f:XY is a functionMathworldPlanetmath. Then f is a constant function if f(a)=f(b) for all a,b in X.

0.0.1 Properties

  1. 1.

    The compositionMathworldPlanetmath of a constant function with any function (for which composition is defined) is a constant function.

  2. 2.
Title constant function
Canonical name ConstantFunction
Date of creation 2013-03-22 13:57:35
Last modified on 2013-03-22 13:57:35
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 5
Author mathcam (2727)
Entry type Definition
Classification msc 03E20
Synonym constant function
Synonym constant map
Synonym constant mapping
Related topic Function
Related topic HomotopyOfMaps
Related topic ZeroMap