Order type
id:
order-type-178-9109560
title:
Order type
text:
In mathematics, especially in set theory, two ordered sets X and Y are said to have the same order type if they are order isomorphic, that is, if there exists a bijection f : X → Y such that both f and its inverse are monotonic. In the special case when X is totally ordered, monotonicity of f already implies monotonicity of its inverse. One and the same set may be equipped with different orders. Since order-equivalence is an equivalence relation, it partitions the class of all ordered sets into
brand slug:
wiki
category slug:
encyclopedia
description:
Isomorphism type of ordered sets
original url:
https://en.wikipedia.org/wiki/Order_type
date created:
2006-03-24T11:50:42Z
date modified:
2024-09-04T12:50:52Z
main entity:
{"identifier":"Q620006","url":"https://www.wikidata.org/entity/Q620006"}
image:
fields total:
13
integrity:
15