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Some remarks on \(g\)-functions - MaRDI portal

Some remarks on \(g\)-functions (Q2701848)

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Some remarks on \(g\)-functions
scientific article

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    28 March 2001
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    stratifiable space
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    Lashnev space
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    metrizability
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    Some remarks on \(g\)-functions (English)
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    The authors consider the metrizability of a topological space \((X,\tau)\) in terms of conditions (they state 11 of these) on a function \(g: N\times X\to\tau\) such that \(x\in g(n,x)\) for \(n\in \mathbb{N}\). Certain conditions on \(g\) also characterize stratifiable and Lashnev spaces.
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