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Title | open set | mathematics | |
Description | Other articles where open set is discussed: topology: Topological space: …sets in T are called open sets and T is called a topology on X. For example, the real number line becomes a topological space when its topology is specified as the collection |
Keywords | open set, encyclopedia, encyclopeadia, britannica |
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open set | mathematics | Britannica Browse Search Dictionary Quizzes One Good Fact Subscribe Login open set Table of Contents open set References open set mathematics Actions Share External Websites Share Learn about this topic in these articles: defining topological spaces In topology: Topological space …sets in T are called open sets and T is called a topology on X . For example, the real number line becomes a topological space when its topology is specified as the collection of all possible unions of open intervals—such as (−5, 2), (1/2, π), (0, Square root of √ 2 ), …. (An analogous… Read More In Hausdorff space …specified collection of subsets, called open sets, that satisfy three axioms: (1) the set itself and the empty set are open sets, (2) the intersection of a finite number of open sets is open, and (3) the union of any collection of open sets is an open set. A Hausdorff… Read More Ask us a question Feedback Corrections? Updates? Omissions? Let us know if you have |
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