Order isomorphism
From Encyclopedia of Mathematics
between partially ordered sets
A bijection that is also an order-preserving mapping. Order isomorphic sets are said to have the same order type, although this term is often restricted to linearly ordered sets.
Another term is similarity.
References
- Ciesielski, Krzysztof. "Set theory for the working mathematician" London Mathematical Society Student Texts 39 Cambridge University Press (1997) Zbl 0938.03067
- Halmos, Paul R. "Naive Set Theory", Springer (1960, repr. 1974) ISBN 0-387-90092-6 Zbl 0287.04001
How to Cite This Entry:
Order isomorphism. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Order_isomorphism&oldid=39614
Order isomorphism. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Order_isomorphism&oldid=39614