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Collapsing algebra

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In mathematics, a collapsing algebra is a type of Boolean algebra sometimes used in forcing to reduce ("collapse") the size of cardinals. Collapsing algebras were introduced by Levy.

Definition

If κ and λ are cardinals, then the Boolean algebra of regular open sets of the product space κλ is called a collapsing algebra.

References

  • Bell, J. L. (1985) Boolean-Valued Models and Independence Proofs in Set Theory, Oxford. ISBN 0-19-853241-5
  • Grishin, V.N. (2001) [1994], "Collapsing algebra", Encyclopedia of Mathematics, EMS Press
  • Jech, Thomas (2002). Set theory, third millennium edition (revised and expanded). Springer. ISBN 3-540-44085-2. OCLC 174929965.
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