clopen
Syllables: clo·penUK/ˈkləʊ̯.pən/US/ˈkloʊ̯.pən/
clopen adjective: both open and closed.
Adjective
clopen (not comparable)
- Both open and closed.
- 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.1990, Gerald A Edgar, Measure, Topology, and Fractal Geometry, page 80
- FACT 1. Disjoint closed subsets of #92;mathbb#123;N#125;#92;mathbb#123;N#125; may be separated by disjoint clopen sets.1999, S. J. Dilworth, “On the extensibility of certain homeomorphisms and linear isometries”, in Krzysztof Jarosz, editor, Function Spaces: Proceedings of the Third Conference on Function Spaces...
Noun
clopen (plural clopens)
Forms of clopen
| plural | clopens |
|---|
Origin of clopen
Blend of closed + open.
Words that rhyme with clopen
Questions about clopen
- What does clopen mean?
- Clopen means both open and closed.
- What part of speech is clopen?
- Clopen can be an adjective or a noun.
- How do you pronounce clopen?
- Clopen is pronounced /ˈkləʊ̯.pən/ (UK).
Words near clopen in the dictionary
Source and license
Adapted from Wiktionary: clopen (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “clopen.” Word.ws, https://word.ws/clopen. Based on Wiktionary, CC BY-SA 4.0.
