Talk:Ziegler spectrum

	This article was reviewed by member(s) of WikiProject Articles for creation. The project works to allow users to contribute quality articles and media files to the encyclopedia and track their progress as they are developed. To participate, please visit the project page for more information.Articles for creationWikipedia:WikiProject Articles for creationTemplate:WikiProject Articles for creationAfC articles
	This article was accepted from this draft on 30 July 2017 by reviewer SwisterTwister (talk · contribs).

Mathematics Low‑priority

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Low	This article has been rated as Low-priority on the project's priority scale.

Are Ziegler spectra sober?

The article currently says in the "Properties" section, that Ziegler spectra often fail to be $T_{0}$ , but it being unknown whether they all are sober. But being sober implies being $T_{0}$ . So those Ziegler spectra which are not $T_{0}$ can not be sober, answering the open problem. What are thr correct statements? (This was mentioned in the comments of https://mathoverflow.net/questions/320561/does-anyone-use-non-sober-topological-spaces). Columbus240 (talk) 04:50, 19 September 2022 (UTC)[reply]