Jump to ContentJump to Main Navigation
Show Summary Details

Journal of Applied Analysis

Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw


SCImago Journal Rank (SJR) 2015: 0.139
Source Normalized Impact per Paper (SNIP) 2015: 0.314
Impact per Publication (IPP) 2015: 0.170

Mathematical Citation Quotient (MCQ) 2015: 0.13

Online
ISSN
1869-6082
See all formats and pricing

Non-Cohen Oracle C.C.C.

S. Shelah12

1The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel. e-mail:

2Department of Mathematics, Hill Center — Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

Citation Information: Journal of Applied Analysis. Volume 12, Issue 1, Pages 1–17, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: https://doi.org/10.1515/JAA.2006.1, June 2010

Publication History

Received:
2003-05-05
Revised:
2004-12-06
Published Online:
2010-06-09

Abstract

The oracle c.c.c. is closely related to Cohen forcing. During an iteration we can “omit a type”; i.e. preserve “the intersection of a given family of Borel sets of reals is empty” provided that Cohen forcing satisfies it. We generalize this to other cases. In Section 1 we replace Cohen by “nicely” definable c.c.c., do the parallel of the oracle c.c.c. and end with a criterion for extracting a subforcing (not a complete subforcing, ) of a given nicely one and satisfying the oracle.

Key words and phrases.: 03E35; 03E17

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Tomek Bartoszynski and Saharon Shelah
The Journal of Symbolic Logic, 2010, Volume 75, Number 04, Page 1293
[2]
Saharon Shelah
Central European Journal of Mathematics, 2010, Volume 8, Number 2, Page 213

Comments (0)

Please log in or register to comment.