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  1. Singleton (mathematics) - Wikipedia

    • In mathematics, a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set is a singleton whose single element is . See more

    Properties

    Within the framework of Zermelo–Fraenkel set theory, the axiom of regularity guarantees that no set is an element of … See more

    In category theory

    Structures built on singletons often serve as terminal objects or zero objects of various categories:
    • The statement above shows that the singleton sets are precisely the terminal objects in t… See more

    Definition by indicator functions

    Let S be a class defined by an indicator function Then S is called a singleton if and only if there is some such that for all See more

    See also

    Class (set theory) – Collection of sets in mathematics that can be defined based on a property of its members
    Isolated point – Point of a subset S around which there are no other points of S… See more

     
  1. Set with exactly one element

    In mathematics, a singleton (also known as a unit set[1] or one-point set) is a set with exactly one element. For example, the set is a singleton whose single element is . Within the framework of Zermelo–Fraenkel set theory, the axiom of regularity guarantees that no set is an element of itself.
    en.wikipedia.org/wiki/Singleton_(mathematics)
    en.wikipedia.org/wiki/Singleton_(mathematics)
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  2. Singleton Set: Definition, Formula, Properties, Examples, FAQs

  3. Singleton Set - Definition, Formula, Properties, Examples - Cuemath

  4. Singleton Set - GeeksforGeeks

    Aug 8, 2024 · In this article, we will explore the singleton set, singleton set definition, singleton set symbol, singleton set examples, the cardinality of the singleton set, the power set of the singletons set, and others in detail.

  5. Singleton Set - Definition, Symbol, and Examples

    Jul 12, 2024 · A singleton set is a set that contains only one element. It is thus also called a unit set. For example, a set of even prime numbers is a singleton set since only one prime number is even = {2}; all others are odd.

  6. Singleton Set: Definition, Symbol, Properties with …

    Jun 29, 2024 · What is a Singleton Set? A set with only one element is recognized as a singleton set and it is also known as a unit set and is of the form Q = {q}. Here the subset for the set includes the null set with the set itself.

  7. Singleton Set -- from Wolfram MathWorld

  8. Q: What is a singleton set? - CK-12 Foundation

  9. Singleton (mathematics) - Wikiwand

  10. Singleton (mathematics) - Academic Dictionaries and Encyclopedias

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