Talk:Wadge hierarchy

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[edit] organization

So there are several related topics that could plausibly be article titles:

plus the existing one, Wadge degree.

I think they make perhaps two or three articles, with one "central" or "primary" one that introduces the subject and links to the "secondary" one(s) for more details. What I don't believe is that Wadge degree is the natural choice for the "central" article; I'd think that would be Wadge hierarchy, to show the big picture.

Just a thought for anyone (including me) who might be adding to this article—keep the big picture in mind, even if some of it is currently missing (that is, redlinks). Don't try to force everything under the title Wadge degree just because that's the article that currently exists. --Trovatore 16:33, 1 April 2006 (UTC)

[edit] went ahead and moved it

On second thought, I have my doubts that there's the necessary editor commitment to make more than one article anytime soon (certainly, there's not from me). All topics should probably be at least touched on at Wadge hierarchy, and we can make redirects-with-possibilities for them, to be expanded into articles if anyone gets ambitious. If Wadge degree itself were to be turned into an article, it should probably be about something like the fine analysis of Wadge degrees done by Louveau. --Trovatore 16:49, 1 April 2006 (UTC)

[edit] hierarchy(ies)

I've reverted the change from "a hierarchy" to "multiple hierarchies" (by an anon, unfortunately, so it's hard to find the editor to discuss it). Up to as far as determinacy holds, the Wadge order is linear, with the exception that non-self-dual Wadge degrees are incomparable with their duals. Also the standard term is "Wadge hierarchy", not "Wadge hierarchies".

To tell the truth I'm not even sure what "multiple hierarchies" is supposed to mean. Perhaps the editor who made the change would like to explain on this talk page. --Trovatore 01:39, 14 April 2006 (UTC)

Isn't there one hierarchy for each Polish space? Ben Standeven 17:13, 1 April 2007 (UTC)
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