Pseudocircle
id:
pseudocircle-251-11668846
title:
Pseudocircle
text:
The pseudocircle is the finite topological space X consisting of four distinct points {a,b,c,d } with the following non-Hausdorff topology: This topology corresponds to the partial order a < c , b < c , a < d , b < d where open sets are downward-closed sets. X is highly pathological from the usual viewpoint of general topology as it fails to satisfy any separation axiom besides T0. However, from the viewpoint of algebraic topology X has the remarkable property that it is indistinguishable
brand slug:
wiki
category slug:
encyclopedia
description:
Four-point non-Hausdorff topological space
original url:
https://en.wikipedia.org/wiki/Pseudocircle
date created:
date modified:
2023-11-15T06:17:22Z
main entity:
{"identifier":"Q7254653","url":"https://www.wikidata.org/entity/Q7254653"}
image:
fields total:
13
integrity:
14