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On \(L\)-proximities of the internal type - MaRDI portal

On \(L\)-proximities of the internal type (Q853381)

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scientific article; zbMATH DE number 5073276
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On \(L\)-proximities of the internal type
scientific article; zbMATH DE number 5073276

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    On \(L\)-proximities of the internal type (English)
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    15 November 2006
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    This paper shows that all initial and final lifts in the category of \(L\)-proximity spaces of the internal type and hence all initial and final \(L\)-proximities of internal type exist. The relations between the initial \(L\)-proximities of internal type and initial \(L\)-topology, the initial global \(L\)-neighborhood structures and the initial \(L\)-uniform structures are verified.
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    \(L\)-topology
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    \(L\)-proximity
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    \(L\)-uniform structure
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