- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Some remarks on Baire's grand theorem
Archive for Mathematical Logic 57 (3-4):195–201 (2017)
Abstract
We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Polish space to NN that has a point of continuity when restricted to any non-empty compact subset, then f is of Baire class 1. We use this property of the restrictions to compact sets to give a generalisation of Baire’s grand theorem for functions of any Baire class.Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
Some remarks on Baire’s grand theorem.Riccardo Camerlo & Jacques Duparc - 2018 - Archive for Mathematical Logic 57 (3-4):195-201.
A game characterizing baire class 1 functions.Viktor Kiss - 2020 - Journal of Symbolic Logic 85 (1):456-466.
Decomposing baire functions.J. Cichoń, M. Morayne, J. Pawlikowski & S. Solecki - 1991 - Journal of Symbolic Logic 56 (4):1273 - 1283.
Game representations of classes of piecewise definable functions.Luca Motto Ros - 2011 - Mathematical Logic Quarterly 57 (1):95-112.
Some weak forms of the Baire category theorem.Kyriakos Kermedis - 2003 - Mathematical Logic Quarterly 49 (4):369.
Decomposing functions of baire class on polish spaces.Longyun Ding, Takayuki Kihara, Brian Semmes & Jiafei Zhao - 2020 - Journal of Symbolic Logic 85 (3):960-971.
Codings of separable compact subsets of the first Baire class.Pandelis Dodos - 2006 - Annals of Pure and Applied Logic 142 (1):425-441.
Baire spaces and infinite games.Fred Galvin & Marion Scheepers - 2016 - Archive for Mathematical Logic 55 (1-2):85-104.
Baire reductions and good Borel reducibilities.Luca Motto Ros - 2010 - Journal of Symbolic Logic 75 (1):323-345.
On the role of the baire category theorem and dependent choice in the foundations of logic.Robert Goldblatt - 1985 - Journal of Symbolic Logic 50 (2):412-422.
Decomposing Borel functions and structure at finite levels of the Baire hierarchy.Janusz Pawlikowski & Marcin Sabok - 2012 - Annals of Pure and Applied Logic 163 (12):1748-1764.
Perfect subsets of generalized baire spaces and long games.Philipp Schlicht - 2017 - Journal of Symbolic Logic 82 (4):1317-1355.
A q-wadge hierarchy in quasi-polish spaces.Victor Selivanov - 2020 - Journal of Symbolic Logic:1-26.
A q-wadge hierarchy in quasi-polish spaces.Victor Selivanov - 2022 - Journal of Symbolic Logic 87 (2):732-757.
On the Uniform Computational Content of the Baire Category Theorem.Vasco Brattka, Matthew Hendtlass & Alexander P. Kreuzer - 2018 - Notre Dame Journal of Formal Logic 59 (4):605-636.
Analytics
Added to PP
2022-11-28
Downloads
7 (#1,402,278)
6 months
5 (#686,768)
2022-11-28
Downloads
7 (#1,402,278)
6 months
5 (#686,768)
Historical graph of downloads
Citations of this work
Games characterizing certain families of functions.Marek Balcerzak, Tomasz Natkaniec & Piotr Szuca - forthcoming - Archive for Mathematical Logic:1-14.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-547967878c-lxknh uwo