arXiv:math/9807172 Abstract

arXiv:math/9807172 [math.LO]Abstract References Reviews Resources

Norms on possibilities I: forcing with trees and creatures

Published 1998-07-30Version 1

We present a systematic study of the method of "norms on possibilities" of building forcing notions with keeping their properties under full control. This technique allows us to answer several open problems, but on our way to get the solutions we develop various ideas interesting per se.These include a new iterable condition for ``not adding Cohen reals'' (which has a flavour of preserving special properties of p-points), new intriguing properties of ultrafilters (weaker than being Ramsey but stronger than p-point) and some new applications of variants of the PP--property.

Comments: accepted for Memoirs of the Amer. Math. Soc

Journal: Mem. Amer. Math. Soc. 141 (1999), no. 671

Categories: math.LO

Subjects: 03E35, 03E40, 03E05

Keywords: possibilities, full control, systematic study, adding cohen reals, preserving special properties

Tags: journal article, monograph

Related articles: Most relevant | Search more

arXiv:math/9904163 [math.LO] (Published 1999-04-29)

Towards Martin's Minimum

Tomek Bartoszynski, Andrzej Roslanowski

arXiv:math/9605211 [math.LO] (Published 1996-05-14)

Combinatorial principles from adding Cohen reals