From: "Volker W. Elling" Subject: Choquets theorem Date: Wed, 15 Mar 2000 17:40:36 +0100 Newsgroups: sci.math.research Summary: [missing] Hello, does anybody know a reference where Choquets theorem is stated and *proven*? It means something like: a point in a convex set is a convex combination of the extreme points of the set, where the convex combination is not a finite sum but a kind of integral. ============================================================================== From: "G. A. Edgar" Subject: Re: Choquets theorem Date: Wed, 15 Mar 2000 12:59:56 -0500 Newsgroups: sci.math.research In article <38CFBD04.9E3AE188@post.rwth-aachen.de>, Volker W. Elling wrote: > Hello, > does anybody know a reference where Choquets theorem is stated and > *proven*? > It means something like: a point in a convex set is a convex combination > of the extreme points of the set, where the convex combination is not a > finite > sum but a kind of integral. R. R. Phelps, Lectures on Choquet's Theorem (1966). It is long out of print, but university libraries probably have copies. -- Gerald A. Edgar edgar@math.ohio-state.edu ============================================================================== From: "Daniel Dockery" Subject: Re: Choquets theorem Date: Thu, 16 Mar 2000 13:07:40 -0600 Newsgroups: sci.math.research "G. A. Edgar" wrote: [...] > R. R. Phelps, Lectures on Choquet's Theorem (1966). > > It is long out of print, but university libraries probably have copies. As mentioned in my other reply in this thread, the author has made a revised version (last revised 19990601) of the book available at his web-site: http://www.math.washington.edu/~phelps/ in dvi and ps formats. ============================================================================== From: "Daniel Dockery" Subject: Re: Choquets theorem Date: Thu, 16 Mar 2000 13:03:20 -0600 Newsgroups: sci.math.research "Volker W. Elling" wrote: [...] > does anybody know a reference where Choquets theorem is stated and *proven*? [...] If you can view either dvi or ps files, go here: http://www.math.washington.edu/~phelps/ R.R. Phelps has made his long out-of-print volume /Lectures on Choquet's Theorem/ available --- in a somewhat revised edition (last revised 19990601) --- in those formats at that page.