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Locally finite order

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An order relation on a partially ordered set $(X,{\le})$ in which every interval is finite: for any given $a,b \in X$, there are only finitely many $x \in X$ such that $a \le x \le b$.

References

  • Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H. Combinatorics. The Rota way. Cambridge University Press (2009) ISBN 978-0-521-73794-4 Zbl 1159.05002 p.106
How to Cite This Entry:
Locally finite order. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Locally_finite_order&oldid=37022