Talk:Diffeology

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Mathematics rating:	Stub Class	Low Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 21:47, 3 June 2007 (UTC)

I am pretty sure, that the real vector spaces form a proper class. As every constant map has to be a plot there is at least one map for any real vector space. Plots therefore cannot form a set but a proper class.

According to Introduction to Diffeology (a working document) the domain of a plot has to be an open subset of Rⁿ, n in N₀. Now as N₀ is a set the Rⁿ-s form a set and the powerset of this set is also a set and the plots actually form a set. Markus Schmaus 13:29, 11 July 2005 (UTC)