ENGLISH

A cardinal preserving extension making the set of points of countable V cofinality nonstationary

By Itay Neeman , Moti Gitik , Dima Sinapova

Book information

Year
2007
Language
english
Format
PDF
Filesize
163 kB (167309 bytes)
Pages
6\6
Library
mexmat
Time added
2009-11-09 02:42:13

Description

Assuming large cardinals we produce a forcing extension of V which preserves cardinals, does not add reals, and makes the set of points of countable V cofinality in κ+ nonstationary. Continuing to force further, we obtain an extension in which the set of points of countable V cofinality in ν is nonstationary for every regular ν ≥ κ+. Finally we show that our large cardinal assumption is optimal.

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