Largest E-thin, E-invariant sets below Δ13

Archive for Mathematical Logic 43 (5):681-690 (2004)
  Copy   BIBTEX

Abstract

Abstract.In this paper, we construct, by effective induction, a ∏11 equivalence relation E on ωω for which there is no largest E-thin E-invariant ∏11 subset of ωω by effective induction. This result answers a problem asked by Kechris in [1]

Categories

Keywords

Reprint years

DOI

10.1007/s001530100089

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,873

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

Two undecidable questions about group actions.John P. Burgess - unknown
An invariance notion in recursion theory.Robert E. Byerly - 1982 - Journal of Symbolic Logic 47 (1):48-66.
Diamond and antichains.James Cummings & Ernest Schimmerling - 2005 - Archive for Mathematical Logic 44 (1):71-76.
The Thin Set Theorem for Pairs Implies DNR.Brian Rice - 2015 - Notre Dame Journal of Formal Logic 56 (4):595-601.
What is a Higher Level Set?Dimitris Tsementzis - 2016 - Philosophia Mathematica:nkw032.
Reverse mathematics of separably closed sets.Jeffry L. Hirst - 2006 - Archive for Mathematical Logic 45 (1):1-2.
Categories without Structures.Andrei Rodin - 2011 - Philosophia Mathematica 19 (1):20-46.
Boolean Algebras, Tarski Invariants, and Index Sets.Barbara F. Csima, Antonio Montalbán & Richard A. Shore - 2006 - Notre Dame Journal of Formal Logic 47 (1):1-23.
Countable thin Π01 classes.Douglas Cenzer, Rodney Downey, Carl Jockusch & Richard A. Shore - 1993 - Annals of Pure and Applied Logic 59 (2):79-139.
Abstraction and Four Kinds of Invariance.Roy T. Cook - 2017 - Philosophia Mathematica 25 (1):3–25.
Motivating reductionism about sets.Alexander Paseau - 2008 - Australasian Journal of Philosophy 86 (2):295 – 307.
Constructive complements of unions of two closed sets.Douglas S. Bridges - 2004 - Mathematical Logic Quarterly 50 (3):293.
Invariant Lie-admissible formulation of quantum deformations.Ruggero Maria Santilli - 1997 - Foundations of Physics 27 (8):1159-1177.
Sets and Point-Sets: Five Grades of Set-Theoretic Involvement in Geometry.John P. Burgess - 1988 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:456 - 463.
Two stars.Janusz Pawlikowski & Marcin Sabok - 2008 - Archive for Mathematical Logic 47 (7-8):673-676.

Analytics

Added to PP
2013-11-23

Downloads
18 (#855,405)

6 months
1 (#1,508,101)

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

No references found.

Add more references