Cofinal set
From Encyclopedia of Mathematics
2020 Mathematics Subject Classification: Primary: 06A [MSN][ZBL]
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=54562
Cofinal set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cofinal_set&oldid=54562