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ArticleOriginal scientific text

Title

On Monk’s questions

Authors 1, 2

Affiliations

  1. Institute of Mathematics, The Hebrew University, Jerusalem, Israel
  2. Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, U.S.A.

Abstract

We deal with Boolean algebras and their cardinal functions: π-weight π and π-character πχ. We investigate the spectrum of π-weights of subalgebras of a Boolean algebra B. Next we show that the π-character of an ultraproduct of Boolean algebras may be different from the ultraproduct of the π-characters of the factors.

Bibliography

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  3. [M] D. Monk, Cardinal functions of Boolean algebras, circulated notes.
  4. [P] D. Peterson, Cardinal functions on ultraproducts of Boolean algebras, J. Symbolic Logic, to appear.
  5. [Sh:92] S. Shelah, Remarks on Boolean algebras, Algebra Universalis 11 (1980), 77-89.
  6. [Sh 355] S. Shelah, ℵω+1 has a Jonsson algebra, in: Cardinal Arithmetic, Oxford Logic Guides 29, Chapter II, Oxford Univ. Press, 1994, 34-116.
  7. [Sh 420] S. Shelah, Advances in cardinal arithmetic, in: Finite and Infinite Combinatorics in Sets and Logic, N. W. Sauer et al. (eds.), Kluwer Acad. Publ., 1993, 355-383.
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Fundamenta Mathematicae
1996/151/1
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Pages:
1-19
Main language of publication
English
Received
1994-02-02
Accepted
1996-01-17
Published
1996
Exact and natural sciences