Canonical behavior of borel functions on superperfect rectangles

Journal of Mathematical Logic 1 (2):173-220 (2001)
  Copy   BIBTEX

Abstract

We describe a list of canonical functions from 2 to ℝ such that every Borel measurable function from 2 to ℝ, on some superperfect rectangle, induces the same equivalence relation as some canonical function.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

External links

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

Through your library

Similar books and articles

Every Borel function is monotone Borel.Boško Živaljević - 1991 - Annals of Pure and Applied Logic 54 (1):87-99.
A very discontinuous borel function.Juris Steprāns - 1993 - Journal of Symbolic Logic 58 (4):1268 - 1283.
A Very Discontinuous Borel Function.Juris Steprans - 1994 - Journal of Symbolic Logic 59 (4):1268-1283.
Effective Borel measurability and reducibility of functions.Vasco Brattka - 2005 - Mathematical Logic Quarterly 51 (1):19-44.
Effective Borel degrees of some topological functions.Guido Gherardi - 2006 - Mathematical Logic Quarterly 52 (6):625-642.
Borel structures and borel theories.Greg Hjorth & André Nies - 2011 - Journal of Symbolic Logic 76 (2):461 - 476.
Borel on the Questions Versus Borel on the Answers.Heike Mildenberger - 1999 - Mathematical Logic Quarterly 45 (1):127-133.
Admissible representations for probability measures.Matthias Schröder - 2007 - Mathematical Logic Quarterly 53 (4):431-445.
A quasi-order on continuous functions.Raphaël Carroy - 2013 - Journal of Symbolic Logic 78 (2):633-648.
Measurable chromatic numbers.Benjamin D. Miller - 2008 - Journal of Symbolic Logic 73 (4):1139-1157.

Analytics

Added to PP
2012-09-02

Downloads
16 (#851,323)

6 months
4 (#678,769)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Mycielski among trees.Marcin Michalski, Robert Rałowski & Szymon Żeberski - 2021 - Mathematical Logic Quarterly 67 (3):271-281.
Additivity of the two-dimensional Miller ideal.Otmar Spinas & Sonja Thiele - 2010 - Archive for Mathematical Logic 49 (6):617-658.

Add more citations

References found in this work

Dominating and unbounded free sets.Slawomir Solecki & Otmar Spinas - 1999 - Journal of Symbolic Logic 64 (1):75-80.
Complexity of reals in inner models of set theory.Boban Velickovic & W. Hugh Woodin - 1998 - Annals of Pure and Applied Logic 92 (3):283-295.
Complexity of reals in inner models of set theory.Boban Velickovic & Hugh Woodin - 1998 - Annals of Pure and Applied Logic 92 (3):283-295.

Add more references