Adjoining dominating functions

Author:

Baumgartner James E.,Dordal Peter

Abstract

AbstractIf dominating functions in ωω are adjoined repeatedly over a model of GCH via a finite-support c.c.c. iteration, then in the resulting generic extension there are no long towers, every well-ordered unbounded family of increasing functions is a scale, and the splitting number (and hence the distributivity number ) remains at ω1.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference7 articles.

1. Dordal P. , Independence results concerning some combinatorial properties of the continuum, Ph.D. Dissertation, Harvard University, Cambridge, Massachusetts, 1982.

2. On some problems of Hausdorff and of Sierpiński

3. Between Martin's Axiom and Souslin's Hypothesis

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