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Two cardinal models for singular μ
Authors:Shimon Garti  Saharon Shelah
Affiliation:1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel;2. Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA
Abstract:We deal here with colorings of the pair (μ+, μ), when μ is a strong limit and singular cardinal. We show that there exists a coloring c with no refinement. It follows that the properties of colorings of (μ+, μ) when μ is singular differ in an essential way from the case of regular μ (although the identities may be the same). (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Set theory  pcf theory  colorings  identities
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