# Elementary interval

From Encyclopedia of Mathematics

*of a partially ordered set*

A subset consisting of two elements such that there are no other elements in the partially ordered set between them, i.e.

#### Comments

Elementary intervals are also called gaps or atomic intervals.

For (elementary) intervals in see Interval and segment; Interval, closed; Interval, open.

**How to Cite This Entry:**

Elementary interval.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Elementary_interval&oldid=31465

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article