Applications of ρ-Functions

Piotr Koszmider
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Piotr Koszmider: Auburn University, Department of Mathematics

A chapter in Set Theory, 1998, pp 83-98 from Springer

Abstract: Abstract Once we start measuring mathematical objects using infinite cardinals we are led naturally into two-cardinal combinatorics which is a field about combinatorial constructions with associated two cardinals. Various internal and external questions can be asked, all related to the relation between the two associated cardinals, e.g.: What could be heights of superatomic Boolean algebras with countable width? What are the possible sizes of Hausdorff spaces with points Gδ and countable Lindelof degree? Is it possible to construct a c.c.c forcing notion (and in particular a cardinal preserving forcing notion) that adds a function f: ω2 × ω2 → ω which isn’t constant on a product of any two infinite sets?

Keywords: Force Notion; Unbounded Function; Aronszajn Tree; Canonical Method; External Question (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-94-015-8988-8_6

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