A quotient-universal digital topology (Q949622)
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scientific article; zbMATH DE number 5354950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quotient-universal digital topology |
scientific article; zbMATH DE number 5354950 |
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A quotient-universal digital topology (English)
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21 October 2008
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The author defines a topology on \(\mathbb Z^{2}\) which has as its quotients three well-known topologies on \(\mathbb Z^{2}\), including both the Marcus and Khalimsky topologies. In Section 3, a quotient closure operator for this topology is studied and a Jordan curve theorem is proved.
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Alexandroff topology
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Khalimsky topology
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Marcus topology
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Jordan curve
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quotient topology
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closure operator
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