---
date: 2022-04-05 23:42
modification date: Sunday 24th April 2022 16:35:18
title: "Schoenflies conjecture"
aliases: [Schoenflies conjecture, Schoenflies problem, Schoenflies]
---

Last modified date: <%+ tp.file.last_modified_date() %>

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- Tags: 
	- #open/conjectures
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

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# Schoenflies Problem

A sharpening of Jordan curve theorem. It states that not only does every simple closed curve in the plane separate the plane into two regions, one (the "inside") bounded and the other (the "outside") unbounded; but also that these two regions are homeomorphic to the inside and outside of a standard circle in the plane.