Scattered order
id:
scattered-order-251-2748960
title:
Scattered order
text:
In mathematical order theory, a scattered order is a linear order that contains no densely ordered subset with more than one element. A characterization due to Hausdorff states that the class of all scattered orders is the smallest class of linear orders that contains the singleton orders and is closed under well-ordered and reverse well-ordered sums. Laver's theorem states that the embedding relation on the class of countable unions of scattered orders is a well-quasi-order. The order topology
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Scattered_order
date created:
date modified:
2022-04-14T09:17:29Z
main entity:
{"identifier":"Q7430614","url":"https://www.wikidata.org/entity/Q7430614"}
image:
fields total:
13
integrity:
13