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Partitions of products

1981/01/01 by David Pincus, J. D. Halpern · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #Functional Equations Stability Results #Advanced Algebra and Logic #Finitary #Ultrafilter #Mathematics #Forcing (mathematics) #Product (mathematics) #Infinite product #Discrete mathematics #Pure mathematics #Combinatorics #Mathematical analysis

paper · doi:10.1090/s0002-9947-1981-0626489-3

openalex publication_date 1981/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

This paper extends some applications of a theorem of Halpern and Lauchli on partitions of products of finitary trees. The extensions are to weak infinite products of dense linear orderings, and ultrafilter preservation for finite product Sacks forcing.

Citations

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