Talk:Uniformizable space

Proposal for splitting the article

The main topic of the article is already essentially covered by Uniform space. The remaining material is more naturally merged into that article.

On the other hand, the section on fine uniformity (or universal uniformity) is somewhat peripheral to the topic of the article and would make more sense as a separate small article. Stca74 (talk) 17:06, 1 January 2008 (UTC)

I completely disagree with a merger into uniform space. A uniformizable space is not a uniform space. We have separate articles on metrizable spaces and metric spaces for the same reason. If we were going to merge it anywhere the proper location would be completely regular space, but I think the concept deserves its own page. I have no problem with splitting off the section on the fine uniformity to its own page, but it doesn't really seem long enough now to merit a split. -- Fropuff (talk) 03:06, 2 January 2008 (UTC)

Yes, agree, based on the analogy with metric and metrizable spaces there is logic for keeping these separate. However, my view is that Uniform spaces requires a few paragraphs on the topological properties of uniform spaces; the present discussion pretty much covers all there is in Uniformizable space with the exception of fine (or universal) uniformity. But as duplication of material is not lethal, we can keep these separate as well - making sure to keep the related articles in synch. Also I would be hesitant to merge the topic into Completely regular space as the separation axioms have somewhat different flavour than the closely linked uniformizability / metrizability questions. As for the fine uniformity, if we keep this article, then there is no need to split it off. Stca74 (talk) 07:13, 2 January 2008 (UTC)