The Khalimsky topologies are precisely those simply connected topologies on \(\mathbb Z^n\) whose connected sets include all 2\(n\)-connected sets but no (3\(^{n}-1\))-disconnected sets. (Q1427781)
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scientific article; zbMATH DE number 2055974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Khalimsky topologies are precisely those simply connected topologies on \(\mathbb Z^n\) whose connected sets include all 2\(n\)-connected sets but no (3\(^{n}-1\))-disconnected sets. |
scientific article; zbMATH DE number 2055974 |
Statements
The Khalimsky topologies are precisely those simply connected topologies on \(\mathbb Z^n\) whose connected sets include all 2\(n\)-connected sets but no (3\(^{n}-1\))-disconnected sets. (English)
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14 March 2004
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Khalimsky space
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Digital topology
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Simply connected topology
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Multidimensional
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Polyhedral analog
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Metric analog
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0.7209774
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0.71743596
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0.7164031
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0.70776606
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0.70699054
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