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math.LOFeb 28, 2008
2
citations (OpenAlex)
authors
  • Saharon Shelah
  • Shimon Garti
institutions
  • University of Notre Dame
arXiv abstractPDF
paper

Depth of Boolean algebras

arXiv:0802.4185 · doi:10.1215/00294527-1435474

Abstract

We prove a Theorem about the relationship between the Depth of the ultraproduct of Boolean algebras, divided by an ultrafilter, and the products of the depths of each component. This answers (partly) an open problem of Monk.

References in corpus (2)

  • (kappa,theta)-weak normality
  • On DEPTH and DEPTH^+ of Boolean Algebras

Cited by in corpus (1)

  • (kappa,theta)-weak normality
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