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Uniform Continuity of a Family of Weakly Regular Set Functions on Topological Spaces

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Abstract

Conditions for the uniform continuity of a family of weakly regular set functions defined on an algebra Σ ⊃ η of subsets of a σ-topological space (T,η) and taking values in an arbitrary topological space are found.

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Authors and Affiliations

  1. Samara State University, Russia

    V. M. Klimkin & T. A. Sribnaya

Authors
  1. V. M. Klimkin
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  2. T. A. Sribnaya
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Klimkin, V.M., Sribnaya, T.A. Uniform Continuity of a Family of Weakly Regular Set Functions on Topological Spaces. Mathematical Notes 74, 56–63 (2003). https://doi.org/10.1023/A:1025015115799

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  • DOI: https://doi.org/10.1023/A:1025015115799

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