# Transitive set

From Encyclopedia of Mathematics

2020 Mathematics Subject Classification: *Primary:* 03E20 [MSN][ZBL]

A set in which the element relation $\in$ is a transitive relation: equivalently a set for which each element is also a subset.

## References

- Kenneth Kunen, "Set Theory", Studies in Logic
**34**, College Publications (2013)**ISBN**978-1-84890-050-9 Zbl 1262.03001

**How to Cite This Entry:**

Transitive set.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Transitive_set&oldid=54400