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<p>We obtain essential completions of topological T<sub>0</sub>-spaces with the help of ideal spaces. We also establish a connection between the essential completeness of function spaces and the essential completeness, as well as with the existence of approximation in the semilattice of open sets.</p>

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Essential Completions of Topological Spaces

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Yu. L. Ershov,
  • M. V. Schwidefsky

摘要

We obtain essential completions of topological T0-spaces with the help of ideal spaces. We also establish a connection between the essential completeness of function spaces and the essential completeness, as well as with the existence of approximation in the semilattice of open sets.