Difference between revisions of "Cofinal set"
From Encyclopedia of Mathematics
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| − | * R. Fraïssé, ''Theory of Relations'', Studies in Logic and the Foundations of Mathematics, Elsevier (2011) p.44. ISBN 0080960413 | + | * R. Fraïssé, ''Theory of Relations'', Studies in Logic and the Foundations of Mathematics, Elsevier (2011) p.44. {{ISBN|0080960413}} |
Latest revision as of 20:25, 20 November 2023
2020 Mathematics Subject Classification: Primary: 06A [MSN][ZBL]
in a partially ordered set $(A,{<})$
A subset $B$ of $(A,{<})$ with the property that for every $a \in A$ there is $b \in B$ such that $a \le b$. Dually, a co-initial set $B$ has the property that for every $a \in A$ there is $b \in B$ such that $b \le a$.
References
- R. Fraïssé, Theory of Relations, Studies in Logic and the Foundations of Mathematics, Elsevier (2011) p.44. ISBN 0080960413
How to Cite This Entry:
Cofinal set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cofinal_set&oldid=35006
Cofinal set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cofinal_set&oldid=35006