On the metrizations of \(\gamma\)-spaces and ks-spaces (Q2710542)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the metrizations of \(\gamma\)-spaces and ks-spaces |
scientific article |
Statements
23 April 2002
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\(g\)-structure
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\(ks\)-structure
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0.9193958
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0.9143388
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On the metrizations of \(\gamma\)-spaces and ks-spaces (English)
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For a space \(X\), \((\{g_n(x)\}_n\), \(x\in X)\) is called a \(g\)-structure if each \(g_n(x)\) is an open neighborhood of \(x\), it is called a \(ks\)-structure if, in addition, \(y_n\in g_n (x_n)\), \(n=1,2,\dots,\) and \(\lim_n y_n=p\) implies \(\lim_n x_n=p\). \(ks\)-structures are used to prove the (complete) metrizability of spaces with other conditions.
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