Pointwise order
From Encyclopediaofmath - Reading time: 1 minThe order on the set of functions with values in a partially ordered set. If $f$ and $g$ are functions from $X$ to $Y$, where $(Y,<)$ is ordered, then there is an order relation on $Y^X$ defined by $$ f \le g \Leftrightarrow \forall x \in X\,,\ f(x) \le g(x) \ . $$
See also: Pointwise operation.
References[edit]
| [1] | B. A. Davey, H. A. Priestley, Introduction to lattices and order, 2nd ed. Cambridge University Press (2002) ISBN 978-0-521-78451-1 Zbl 1002.06001 |
This article is licensed under CC BY-SA 3.0.
Original source: https://encyclopediaofmath.org/wiki/Pointwise order
Status: article is cached
Original source: https://encyclopediaofmath.org/wiki/Pointwise order
Status: article is cached
EncycloReader
is supported by the 
KSF