Geodesic
On Uniform Semigroup-Valued Additive Set Functions
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 26-34

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The main results of this paper are the following: (1) An extension theorem for a uniform semigroup-valued measure on a ring to the generated σ-ring. This result unifies the classieal Hahn-Carathéodory theorem, the extension theorem of Sion and a more recent result of Weber.(2) A theorem stating that every monocompact additive uniform semigroup-valued set function on a semiring is σ-additive. This result generalizes several earlier theorems of Alexandroff, Dinculeanu-Kluvanek, Glicksberg, Huneycutt, Mallory, Marczewski, Millington and Topsøe.
DOI : 10.4153/CMB-1983-005-4
Mots-clés : 28B10, 04A15 
Fox, Geoffrey; Morales, Pedro. On Uniform Semigroup-Valued Additive Set Functions. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 26-34. doi: 10.4153/CMB-1983-005-4
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     year = {1983},
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     doi = {10.4153/CMB-1983-005-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-005-4/}
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