On the extremality of regular extensions of contents and measures
Adamski, Wolfgang
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 213-218 / Harvested from Czech Digital Mathematics Library
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Let $\Cal A$ be an algebra and $\Cal K$ a lattice of subsets of a set $X$. We show that every content on $\Cal A$ that can be approximated by $\Cal K$ in the sense of Marczewski has an extremal extension to a $\Cal K$-regular content on the algebra generated by $\Cal A$ and $\Cal K$. Under an additional assumption, we can also prove the existence of extremal regular measure extensions.

Publié le : 1995-01-01
Classification:  28A12,  46E27 
@article{118749,
     author = {Wolfgang Adamski},
     title = {On the extremality of regular extensions of contents and measures},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {213-218},
     zbl = {0834.28001},
     mrnumber = {1357522},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118749}
}

Adamski, Wolfgang. On the extremality of regular extensions of contents and measures. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 213-218. http://gdmltest.u-ga.fr/item/118749/

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