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Recursive topological spaces - MaRDI portal

Recursive topological spaces (Q1921850)

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scientific article; zbMATH DE number 923564
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Recursive topological spaces
scientific article; zbMATH DE number 923564

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    Recursive topological spaces (English)
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    3 September 1996
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    We discuss the new concept of a recursive topological space which generalizes constructive analysis and the theory of recursive metric spaces. The purpose of our undertaking is to offer a tool for studying recursion on topological groups, algebras, and models of general form with nonmetrizable topologies. It is interesting to observe that the new concept formally generalizes the constructive domains by Yu. L. Ershov and D. Scott, respectively.
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    recursive topological space
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    nonmetrizable topologies
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    constructive domains
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