Sorgenfrey plane
id:
sorgenfrey-plane-235-12713844
title:
Sorgenfrey plane
text:
In topology, the Sorgenfrey plane is a frequently-cited counterexample to many otherwise plausible-sounding conjectures. It consists of the product of two copies of the Sorgenfrey line, which is the real line R under the half-open interval topology. The Sorgenfrey line and plane are named for the American mathematician Robert Sorgenfrey. A basis for the Sorgenfrey plane, denoted S from now on, is therefore the set of rectangles that include the west edge, southwest corner, and south edge, and om
brand slug:
wiki
category slug:
encyclopedia
description:
Frequently-cited counterexample in topology
original url:
https://en.wikipedia.org/wiki/Sorgenfrey_plane
date created:
date modified:
2023-11-17T22:33:54Z
main entity:
{"identifier":"Q1570438","url":"https://www.wikidata.org/entity/Q1570438"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/ba/Sorgenfrey_plane.png","width":399,"height":388}
fields total:
13
integrity:
15