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Suslin algebra

From Wikipedia, the free encyclopedia

In mathematics, a Suslin algebra is a Boolean algebra that is complete, atomless, countably distributive, and satisfies the countable chain condition. They are named after Mikhail Yakovlevich Suslin.[1]

The existence of Suslin algebras is independent of the axioms of ZFC, and is equivalent to the existence of Suslin trees or Suslin lines.[2]

See also

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References

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  1. ^ Jech, Thomas (2013-06-29). Set Theory. Springer Science & Business Media. ISBN 978-3-662-22400-7.
  2. ^ "The mathematics of Andrei Suslin". www.ams.org. Retrieved 2021-08-08.