Family of Sets

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A Family of Sets is a set composed of subsets from a set.



  • (Wikipedia, 2019) ⇒ Retrieved:2019-11-10.
    • In set theory and related branches of mathematics, a collection F of subsets of a given set S is called a family of subsets of S, or a family of sets over S. More generally, a collection of any sets whatsoever is called a family of sets.

      The term "collection" is used here because, in some contexts, a family of sets may be allowed to contain repeated copies of any given member, and in other contexts it may form a proper class rather than a set.