| ENCYCLOPEDIA 4U .com |
Encyclopedia Home Page |
|
|
Locally constant functionA function f from a topological space A to a topological space B is called locally constant, iff for every a in A there exists a neighborhood U of a, such that f is constant in U.Every locally constant function from the real numbers R to R is constant. But the function f from the rationals Q to R, defined by f(x) = 0 for x < π, and f(x) = 1 for x > π, is locally constant. 
|
Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities.
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Locally constant function".