Differences
This shows you the differences between two versions of the page.
|
order-reflecting_function [2013/09/04 17:28] nikolaj |
order-reflecting_function [2014/03/21 11:11] |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ===== Order-reflecting function ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $X,Y$ | | ||
| - | | @#88DDEE: $ \le_X,\le_Y $ | @#88DDEE: ...non-strict partial order | | ||
| - | | @#FFBB00: $ f\in\mathrm{it} $ | | ||
| - | |||
| - | | $f:X\to Y$ | | ||
| - | | $x,y\in X$ | | ||
| - | |||
| - | | @#55EE55: $ f(x)\le_Y f(y)\implies x\le_X y $ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Monotone_function|Monotone function]] | ||
| - | ==== Context ==== | ||
| - | === Refinement of === | ||
| - | [[Function]] | ||
| - | === Parents === | ||
| - | [[Non-strict partial order]] | ||
