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'linearly ordered'
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| Title of object: |
linearly ordered |
| Canonical Name: |
LinearlyOrdered |
| Type: |
Definition |
| Created on: |
2002-01-05 14:30:45 |
| Modified on: |
2002-01-05 14:30:45 |
| Classification: |
msc:03-00 |
| Synonyms: |
linearly ordered=linear ordering
linearly ordered=totally ordered
linearly ordered=total ordering |
Revision comment (for changes between this and next version):
| Changes for correction #10677 ('chain'). |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}
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Content:
| An ordering $\le$ (or $<$) of $A$ is called \emph{linear} or \emph{total} if any two elements of $A$ are comparable. The pair $(A,\le)$ is then called a \emph{linearly ordered set}. |
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