Decomposing functions of baire class on polish spaces

Journal of Symbolic Logic 85 (3):960-971 (2020)
  Copy   BIBTEX

Abstract

We prove the Decomposability Conjecture for functions of Baire class $2$ from a Polish space to a separable metrizable space. This partially answers an important open problem in descriptive set theory.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,100

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

Decomposing baire functions.J. Cichoń, M. Morayne, J. Pawlikowski & S. Solecki - 1991 - Journal of Symbolic Logic 56 (4):1273 - 1283.
A game characterizing baire class 1 functions.Viktor Kiss - 2020 - Journal of Symbolic Logic 85 (1):456-466.
Some remarks on Baire’s grand theorem.Riccardo Camerlo & Jacques Duparc - 2018 - Archive for Mathematical Logic 57 (3-4):195-201.
Effective Borel measurability and reducibility of functions.Vasco Brattka - 2005 - Mathematical Logic Quarterly 51 (1):19-44.
Codings of separable compact subsets of the first Baire class.Pandelis Dodos - 2006 - Annals of Pure and Applied Logic 142 (1):425-441.
Polish metric spaces with fixed distance set.Riccardo Camerlo, Alberto Marcone & Luca Motto Ros - 2020 - Annals of Pure and Applied Logic 171 (10):102832.
Closed Maximality Principles and Generalized Baire Spaces.Philipp Lücke - 2019 - Notre Dame Journal of Formal Logic 60 (2):253-282.
Baire reductions and good Borel reducibilities.Luca Motto Ros - 2010 - Journal of Symbolic Logic 75 (1):323-345.
Quasi-Polish spaces.Matthew de Brecht - 2013 - Annals of Pure and Applied Logic 164 (3):356-381.
A quasi-order on continuous functions.Raphaël Carroy - 2013 - Journal of Symbolic Logic 78 (2):633-648.

Analytics

Added to PP
2020-10-27

Downloads
12 (#1,088,071)

6 months
2 (#1,203,099)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations