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clopen. In DICTIOUS you will not only get to know all the dictionary meanings for the word
clopen, but we will also tell you about its etymology, its characteristics and you will know how to say
clopen in singular and plural. Everything you need to know about the word
clopen you have here. The definition of the word
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English
Etymology
Blend of closed + open.
Pronunciation
Adjective
clopen (not comparable)
- (topology, of a set in a topological space) Both open and closed.
1990, Gerald A Edgar, Measure, Topology, and Fractal Geometry, page 80:A subset of a metric space is clopen iff it is both closed and open. A metric space is called zero-dimensional iff there is a base for the open sets consisting of clopen sets.
- 1999, S. J. Dilworth, On the extensibility of certain homeomorphisms and linear isometries, Krzysztof Jarosz (editor), Function Spaces: Proceedings of the Third Conference on Function Spaces, American Mathematical Society, Contemporary Mathematics, Volume 232, page 124,
- FACT 1. Disjoint closed subsets of may be separated by disjoint clopen sets.
2002, D. A. Vladimirov, Boolean Algebras in Analysis, page 133:Theorem 3. 1) Every two disjoint closed sets in a totally disconnected compact space are separated by disjoint clopen sets.
2) Every algebra of clopen sets which separates the points of a totally disconnected compact space contains all clopen sets.
Noun
clopen (plural clopens)
- A pair of work shifts in which a worker works a closing shift one day and then works an opening shift the following day.
James is on vacation, so I've got to do a clopen this weekend to cover his shifts.
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Anagrams