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

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Locally finite order. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Locally_finite_order&oldid=37012

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