Order topology
id:
order-topology-171-7109936
title:
Order topology
text:
In mathematics, an order topology is a specific topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. If X is a totally ordered set, the order topology on X is generated by the subbase of "open rays"
- { x ∣ a < x }
- { x ∣ x < b } for all a, b in X. Provided X has at least two elements, this is equivalent to saying that the open intervals
- = { x ∣ a < x < b } together with the above r
brand slug:
wiki
category slug:
encyclopedia
description:
Certain topology in mathematics
original url:
https://en.wikipedia.org/wiki/Order_topology
date created:
2003-04-21T00:34:19Z
date modified:
2024-09-01T09:57:52Z
main entity:
{"identifier":"Q1321469","url":"https://www.wikidata.org/entity/Q1321469"}
image:
fields total:
13
integrity:
15