A Gδ ideal of compact sets strictly above the nowhere dense ideal in the Tukey order

&
Annals of Pure and Applied Logic 156 (2):270-273 (2008)
  Copy   BIBTEX

Abstract

We prove that there is a -ideal of compact sets which is strictly above in the Tukey order. Here is the collection of all compact nowhere dense subsets of the Cantor set. This answers a question of Louveau and Veličković asked in [Alain Louveau, Boban Veličković, Analytic ideals and cofinal types, Ann. Pure Appl. Logic 99 171–195]

Categories

Keywords

Reprint years

DOI

10.1016/j.apal.2008.07.003

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,779

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

Tukey order among ideals.Jialiang He, Michael Hrušák, Diego Rojas-Rebolledo & Sławomir Solecki - 2021 - Journal of Symbolic Logic 86 (2):855-870.
Gδ sets in σ-ideals generated by compact sets.Maya Saran - 2019 - Journal of Symbolic Logic 84 (2):781-797.
Analytic ideals and their applications.Sławomir Solecki - 1999 - Annals of Pure and Applied Logic 99 (1-3):51-72.
The number of translates of a closed nowhere dense set required to cover a Polish group.Arnold W. Miller & Juris Steprāns - 2006 - Annals of Pure and Applied Logic 140 (1):52-59.
Ideals of nowhere Ramsey sets are isomorphic.Szymon Plewik - 1994 - Journal of Symbolic Logic 59 (2):662-667.
Maximal Tukey types, P-ideals and the weak Rudin–Keisler order.Konstantinos A. Beros & Paul B. Larson - 2023 - Archive for Mathematical Logic 63 (3):325-352.
Trichotomies for Ideals of Compact Sets.É Matheron, S. Solecki & M. Zelený - 2006 - Journal of Symbolic Logic 71 (2):586 - 598.
Characterizations of the weakly compact ideal on Pλ.Brent Cody - 2020 - Annals of Pure and Applied Logic 171 (6):102791.
The tukey order on compact subsets of separable metric spaces.Paul Gartside & Ana Mamatelashvili - 2016 - Journal of Symbolic Logic 81 (1):181-200.
Van Douwen’s diagram for dense sets of rationals.Jörg Brendle - 2006 - Annals of Pure and Applied Logic 143 (1-3):54-69.

Analytics

Added to PP
2013-12-26

Downloads
33 (#471,604)

6 months
10 (#384,490)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

Analytic ideals and their applications.Sławomir Solecki - 1999 - Annals of Pure and Applied Logic 99 (1-3):51-72.
Analytic ideals and cofinal types.Alain Louveau & Boban Velickovi - 1999 - Annals of Pure and Applied Logic 99 (1-3):171-195.
Analytic ideals and cofinal types.Alain Louveau & Boban Velickovi - 1999 - Annals of Pure and Applied Logic 99 (1-3):171-195.

Add more references