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More on filter exhaustiveness of lattice group-valued measures. (English) Zbl 1302.28004

Šedivý, Ondrej (ed.) et al., Acta Mathematica 17. Proceedings of the 12th Nitra mathematics conference, Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Slovakia, June 19, 2014. Nitra: Constantine The Philosopher University in Nitra, Faculty of Natural Sciences (ISBN 978-80-558-0613-6). Prírodovedec 578, 35-41 (2014).
Summary: We prove some properties of filter exhaustiveness of lattice group-valued measures and give some characterization in terms of continuity of the limit measure. Furthermore we pose some open problems.
For the entire collection see [Zbl 06320272].

MSC:

28A12 Contents, measures, outer measures, capacities
28B15 Set functions, measures and integrals with values in ordered spaces