What does clopen mean?
Definitions for clopen
clopen
This dictionary definitions page includes all the possible meanings, example usage and translations of the word clopen.
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Wiktionary
clopenadjective
Of a subset of a topological space, both open and closed.
Wikipedia
clopen
In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed. That this is possible may seem counter-intuitive, as the common meanings of open and closed are antonyms, but their mathematical definitions are not mutually exclusive. A set is closed if its complement is open, which leaves the possibility of an open set whose complement is also open, making both sets both open and closed, and therefore clopen. As described by topologist James Munkres, unlike a door, "a set can be open, or closed, or both, or neither!" emphasizing that the meaning of "open"/"closed" for doors is unrelated to their meaning for sets (and so the open/closed door dichotomy does not transfer to open/closed sets). This contrast to doors gave the class of topological spaces known as "door spaces" their name.
Numerology
Chaldean Numerology
The numerical value of clopen in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of clopen in Pythagorean Numerology is: 2
Translations for clopen
From our Multilingual Translation Dictionary
- كلوبينArabic
- clopenCzech
- åbneDanish
- offnenGerman
- κλείνωGreek
- fermiEsperanto
- clopenSpanish
- بستنPersian
- suljettuFinnish
- clopenFrench
- clopenIrish
- बंद करनाHindi
- bezárvaHungarian
- փակելArmenian
- clopenIndonesian
- clopenItalian
- לפתוחHebrew
- 開かつ閉集合Japanese
- ಕ್ಲೋಪೆನ್Kannada
- 클로 펜Korean
- clopenLatin
- clopenDutch
- klaffeNorwegian
- clopenPolish
- clopenPortuguese
- clopenRomanian
- прищемитьRussian
- clopenSwedish
- clopenTamil
- క్లోపెన్Telugu
- โคลเพนThai
- ClopenTurkish
- клопенUkrainian
- clopenVietnamese
- קלופּןYiddish
- 开openChinese
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"clopen." Definitions.net. STANDS4 LLC, 2024. Web. 6 May 2024. <https://www.definitions.net/definition/clopen>.
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