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Noun
1. open setMathematics
Wikipedia definition
2. Open setIn topology, a set is called an open set if it is a neighborhood of every point . When dealing with metric spaces, this can be intuitively interpreted as saying that every can be "moved" some non-zero distance, in any direction, and it will still lie within . The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined.
Read “Open set” on English Wikipedia
Read “開集合” on Japanese Wikipedia
Read “Open set” on DBpedia

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