discrete topology
discrete topology · discrete topologies
A topology on a set consisting of all subsets of that setA topology on a set consisting of all subsets of that set.
Meaning
1 sensesA topology on a set consisting of all subsets of that set.
In the discrete topology all sets are open (but they are also all closed).
An infinite set with discrete topology is not compact.
Translations
1 languagesForms
plural: discrete topologies| Singular | discrete topology |
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regular
Word family
1 related wordsRelateddiscrete metric
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.