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Finitely additive set functions into a topological group
V. M. Klimkin Kuibyshev State University
Abstract:
The properties of finitely additive set functions defined on a ring $S$ with values in an Abelian topological group are studied. In particular, a condition under which the property of uniform absence of the escaping load (UAEL) is preserved under the extension of a set function from a ring $R$ to an extending ring $S\supset R$ is established.
Received: 25.09.1975
Citation:
V. M. Klimkin, “Finitely additive set functions into a topological group”, Mat. Zametki, 21:6 (1977), 847–854; Math. Notes, 21:6 (1977), 477–481
Linking options:
https://www.mathnet.ru/eng/mzm8015 https://www.mathnet.ru/eng/mzm/v21/i6/p847
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Statistics & downloads: |
Abstract page: | 182 | Full-text PDF : | 82 | First page: | 1 |
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