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Large set
Topics referred to by the same term From Wikipedia, the free encyclopedia
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In mathematics, the term large set is sometimes used to refer to any set that is "large" in some sense. It has specialized meanings in three branches of mathematics:
- Large set (category theory), a set that does not belong to a fixed universe of sets
- Large set (combinatorics), a set of integers whose sum of reciprocals diverges
- Large set (Ramsey theory), a set of integers with the property that, if all the integers are colored, one of the color classes has long arithmetic progressions whose differences are in the set
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