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We obtain three variants of the theorem, each one characterising distributions, in the form of continuous valuations, over relevant powerdomains of demonic, angelic and erratic non-determinism, respectively.<\/jats:p>","DOI":"10.1017\/s0960129510000617","type":"journal-article","created":{"date-parts":[[2011,1,28]],"date-time":"2011-01-28T12:51:35Z","timestamp":1296219095000},"page":"511-561","source":"Crossref","is-referenced-by-count":9,"title":["Choquet\u2013Kendall\u2013Matheron theorems for non-Hausdorff spaces"],"prefix":"10.1017","volume":"21","author":[{"given":"JEAN","family":"GOUBAULT-LARRECQ","sequence":"first","affiliation":[]},{"given":"KLAUS","family":"KEIMEL","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2011,1,28]]},"reference":[{"key":"S0960129510000617_ref11","unstructured":"Goubault-Larrecq J. (2007) Une introduction aux capacit\u00e9s, aux jeux et aux pr\u00e9visions, Version 6. 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