Controlling cardinal characteristics without adding reals

, , &
Journal of Mathematical Logic 21 (3) (2020)
  Copy   BIBTEX

Abstract

We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new <κ-sequences. As an application, we show that consistently the followi...

Categories

Keywords

Reprint years

2021

DOI

10.1142/s0219061321500185

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

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

Controlling cardinal characteristics without adding reals.Martin Goldstern, Jakob Kellner, Diego A. Mejía & Saharon Shelah - 2021 - Journal of Mathematical Logic 21 (3):2150018.
On Martin's Axiom and Forms of Choice.Eleftherios Tachtsis - 2016 - Mathematical Logic Quarterly 62 (3):190-203.
An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited.Ali Enayat & Vladimir Kanovei - 2020 - Journal of Mathematical Logic 21 (3):2150014.
Cardinal characteristics, projective wellorders and large continuum.Vera Fischer, Sy David Friedman & Lyubomyr Zdomskyy - 2013 - Annals of Pure and Applied Logic 164 (7-8):763-770.
Cichoń’s diagram and localisation cardinals.Martin Goldstern & Lukas Daniel Klausner - 2020 - Archive for Mathematical Logic 60 (3):343-411.
Filter-linkedness and its effect on preservation of cardinal characteristics.Jörg Brendle, Miguel A. Cardona & Diego A. Mejía - 2021 - Annals of Pure and Applied Logic 172 (1):102856.
Cardinal characteristics and countable Borel equivalence relations.Samuel Coskey & Scott Schneider - 2017 - Mathematical Logic Quarterly 63 (3-4):211-227.
Cohen reals from small forcings.Janusz Pawlikowski - 2001 - Journal of Symbolic Logic 66 (1):318-324.
Cohen Reals from Small Forcings.Janusz Pawlikowski - 2001 - Journal of Symbolic Logic 66 (1):318-324.
The large cardinal strength of weak Vopenka’s principle.Trevor M. Wilson - 2021 - Journal of Mathematical Logic 22 (1).
Changing cardinal invariants of the reals without changing cardinals or the reals.Heike Mildenberger - 1998 - Journal of Symbolic Logic 63 (2):593-599.
Iterability for (transfinite) stacks.Farmer Schlutzenberg - 2021 - Journal of Mathematical Logic 21 (2):2150008.
Guessing models and the approachability ideal.Rahman Mohammadpour & Boban Veličković - 2020 - Journal of Mathematical Logic 21 (2):2150003.
Changing cardinal invariants of the reals without changing cardinals or the reals.Heike Mildenberger - 1998 - Journal of Symbolic Logic 63 (2):593-599.
Creature forcing and five cardinal characteristics in Cichoń’s diagram.Arthur Fischer, Martin Goldstern, Jakob Kellner & Saharon Shelah - 2017 - Archive for Mathematical Logic 56 (7-8):1045-1103.

Analytics

Added to PP
2021-06-23

Downloads
4 (#1,599,757)

6 months
3 (#1,002,413)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
On cardinal characteristics of Yorioka ideals.Miguel A. Cardona & Diego A. Mejía - 2019 - Mathematical Logic Quarterly 65 (2):170-199.
Many simple cardinal invariants.Martin Goldstern & Saharon Shelah - 1993 - Archive for Mathematical Logic 32 (3):203-221.

View all 11 references / Add more references