Forcing with quotients

&
Archive for Mathematical Logic 47 (7-8):719-739 (2008)
  Copy   BIBTEX

Abstract

We study an extensive connection between quotient forcings of Borel subsets of Polish spaces modulo a σ-ideal and quotient forcings of subsets of countable sets modulo an ideal

Categories

Keywords

Reprint years

DOI

10.1007/s00153-008-0104-4

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 99,410

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

σ-Continuity and related forcings.Marcin Sabok - 2009 - Archive for Mathematical Logic 48 (5):449-464.
Product of invariant types modulo domination–equivalence.Rosario Mennuni - 2020 - Archive for Mathematical Logic 59 (1):1-29.
On extendability to $$F_\sigma $$ ideals.Adam Kwela - 2022 - Archive for Mathematical Logic 61 (7):881-890.
Forcings with the countable chain condition and the covering number of the Marczewski ideal.Teruyuki Yorioka - 2003 - Archive for Mathematical Logic 42 (7):695-710.
Forcing properties of ideals of closed sets.Marcin Sabok & Jindřich Zapletal - 2011 - Journal of Symbolic Logic 76 (3):1075 - 1095.
A Mathias criterion for the Magidor iteration of Prikry forcings.Omer Ben-Neria - 2023 - Archive for Mathematical Logic 63 (1):119-134.
Two stars.Janusz Pawlikowski & Marcin Sabok - 2008 - Archive for Mathematical Logic 47 (7-8):673-676.
Non-homogeneity of quotients of Prikry forcings.Moti Gitik & Eyal Kaplan - 2019 - Archive for Mathematical Logic 58 (5-6):649-710.
The diamond principle for the uniformity of the meager ideal implies the existence of a destructible gap.Teruyuki Yorioka - 2005 - Archive for Mathematical Logic 44 (6):677-683.
Recursive Polish spaces.Tyler Arant - 2023 - Archive for Mathematical Logic 62 (7):1101-1110.

Analytics

Added to PP
2013-12-01

Downloads
64 (#274,417)

6 months
7 (#553,680)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Katětov order on Borel ideals.Michael Hrušák - 2017 - Archive for Mathematical Logic 56 (7-8):831-847.
Ramsey type properties of ideals.M. Hrušák, D. Meza-Alcántara, E. Thümmel & C. Uzcátegui - 2017 - Annals of Pure and Applied Logic 168 (11):2022-2049.
Forcing by non-scattered sets.Miloš S. Kurilić & Stevo Todorčević - 2012 - Annals of Pure and Applied Logic 163 (9):1299-1308.

View all 17 citations / Add more citations

References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
Set Theory.T. Jech - 2005 - Bulletin of Symbolic Logic 11 (2):243-245.
Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Analytic ideals and their applications.Sławomir Solecki - 1999 - Annals of Pure and Applied Logic 99 (1-3):51-72.
Forcing indestructibility of MAD families.Jörg Brendle & Shunsuke Yatabe - 2005 - Annals of Pure and Applied Logic 132 (2):271-312.

View all 10 references / Add more references