On Drewnowski lemma for non-additive functions and its consequences (Q963672)
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scientific article; zbMATH DE number 5692396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Drewnowski lemma for non-additive functions and its consequences |
scientific article; zbMATH DE number 5692396 |
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On Drewnowski lemma for non-additive functions and its consequences (English)
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13 April 2010
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The authors extend the \textit{L. Drewnowski} lemma [Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20, 725--731 (1972; Zbl 0243.28011)] to non-additive functions defined on an orthomodular lattice with the subsequential interpolation property and with values in a uniform space induced by a complete metric. As a consequence, Brooks-Jewett and Cafiero theorems are proved in this context.
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orthomodular lattice
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subsequential interpolation property
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non-additive content
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convergence theorems
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