Large Cardinal Properties of Small Cardinals

James Cummings
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James Cummings: Carnegie Mellon University, Department of Mathematical Sciences

A chapter in Set Theory, 1998, pp 23-39 from Springer

Abstract: Abstract The fact that small cardinals (for example N1 and N2) can consistently have properties similar to those of large cardinals (for example measurable or supercompact cardinals) is a recurring theme in set theory. In these notes I discuss three examples of this phenomenon; stationary reflection, saturated ideals and the tree property. None of the results discussed here is due to me unless I say so explicitly.

Keywords: Tree Property; Regular Cardinal; Measurable Cardinal; Stationary Reflection; Stationary Subset (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-94-015-8988-8_2

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