Difference between revisions of "Covering element"
From Encyclopedia of Mathematics
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| − | An element directly following another element; more precisely, the expression "a covers b in the partially ordered set P" means that < | + | An element directly following another element; more precisely, the expression "a covers b in the partially ordered set P" means that $b<a$ and that there is no element $x\in P$ such that $b<x<a$. |
Revision as of 15:34, 22 July 2014
in a partially ordered set
An element directly following another element; more precisely, the expression "a covers b in the partially ordered set P" means that $b<a$ and that there is no element $x\in P$ such that $b<x<a$.
How to Cite This Entry:
Covering element. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Covering_element&oldid=13768
Covering element. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Covering_element&oldid=13768
This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article