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Wolfgang Adamski  JDA ANJHA=EJO B HACK=H ANJAIEI B ?JAJI =@ A= IKHAI

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Wolfgang Adamski

On the extremality of regular extensions of contents and mea- sures

Comment.Math.Univ.Carolinae 36,2 (1995) 213-218.

Abstract: LetAbe an algebra andKa lattice of subsets of a setX. We show that every content onAthat can be approximated byKin the sense of Marczewski has an extremal extension to a K-regular content on the algebra generated byA and K. Under an additional assumption, we can also prove the existence of extremal regular measure extensions.

Keywords: regular content, lattice, semicompact, sequentially dominated AMS Subject Classification: 28A12

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