Remarks on \(\omega\)-closed sets in Sundaram-Sheik John's sense of digital \(n\)-spaces (Q2800129)
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scientific article; zbMATH DE number 6569069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on \(\omega\)-closed sets in Sundaram-Sheik John's sense of digital \(n\)-spaces |
scientific article; zbMATH DE number 6569069 |
Statements
14 April 2016
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\(\omega\)-closed
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semi-open set
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preopen set
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digital topology
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digital line
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digital \(n\)-space
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semi-\(T_2\) separation axiom
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semi-kernel
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\(\Lambda_s\)-set
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Remarks on \(\omega\)-closed sets in Sundaram-Sheik John's sense of digital \(n\)-spaces (English)
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This paper is an extensive study of some properties relevant for digital lines and digital \(n\)-spaces. In particular, \(\omega\)-closed sets (in Sundaram-Sheik John's sense) are considered which are placed between closed sets and \(g\)-closed sets. Among many other results it turns out that a subset \(A\) of \((\mathbb Z^n,\kappa^n)\) is closed in \((\mathbb Z^n,\kappa^n)\) if and only if \(A\) is \(\omega\)-closed in Sundaram-Sheik John's sense of \((\mathbb Z^n,\kappa^n)\).
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