|
|
|
Viewing Version
5
of
'meet'
|
[ view 'meet'
|
back to history
]
| Title of object: |
meet |
| Canonical Name: |
Meet |
| Type: |
Definition |
| Created on: |
2002-02-24 17:04:54 |
| Modified on: |
2003-09-03 16:14:51 |
| Classification: |
msc:06-XX |
| Synonyms: |
meet=and operator |
Revision comment (for changes between this and next version):
| Changes for correction #3378 ('certain posets...'). |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here |
Content:
| Certain posets $X$ have a binary operator \emph{meet}, denoted $\land$ such that $x \land y$ is the greatest lower bound of $x$ and $y$. Further, if $m$ and $m'$ are both meets of $x$ and $y$, then $m \leq m'$ and $m \geq m'$, and so $m = m'$; thus a meet, if it exists, is unique. |
|
|
|
|
|
