Borel separability of the coanalytic Ramsey sets

Annals of Pure and Applied Logic 144 (1-3):130-132 (2006)
  Copy   BIBTEX

Abstract

Let AC and AI denote the collections of graphs with vertex set ω and which have, respectively, no infinite independent subgraph, and no infinite complete subgraph. Both AC and AI are coanalytic sets of reals that are not analytic, and they are disjoint by Ramsey’s theorem. We prove that there exists a Borel set separating AC and AI, and we discuss the sense in which this is an infinite analogue of a weak version of

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,594

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

Σ-Homogeneity of Borel Sets.Alexey Ostrovsky - 2011 - Archive for Mathematical Logic 50 (5-6):661-664.
Borel Sets and Ramsey's Theorem.Fred Galvin & Karel Prikry - 1973 - Journal of Symbolic Logic 38 (2):193-198.
Ramsey Sets, the Ramsey Ideal, and Other Classes Over R.Paul Corazza - 1992 - Journal of Symbolic Logic 57 (4):1441 - 1468.
Extending Baire Property by Uncountably Many Sets.Paweł Kawa & Janusz Pawlikowski - 2010 - Journal of Symbolic Logic 75 (3):896-904.
On Relatively Analytic and Borel Subsets.Arnold W. Miller - 2005 - Journal of Symbolic Logic 70 (1):346 - 352.
Happy Families and Completely Ramsey Sets.Pierre Matet - 1993 - Archive for Mathematical Logic 32 (3):151-171.
Strong Measure Zero Sets and Rapid Filters.Jaime I. Ihoda - 1988 - Journal of Symbolic Logic 53 (2):393-402.
Topological Complexity of Locally Finite Ω-Languages.Olivier Finkel - 2008 - Archive for Mathematical Logic 47 (6):625-651.
Borel Structures and Borel Theories.Greg Hjorth & André Nies - 2011 - Journal of Symbolic Logic 76 (2):461 - 476.

Analytics

Added to PP
2013-12-31

Downloads
18 (#608,088)

6 months
1 (#418,924)

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