Borel reductions and cub games in generalised descriptive set theory

Journal of Symbolic Logic 78 (2):439-458 (2013)
  Copy   BIBTEX

Abstract

It is shown that the power set of $\kappa$ ordered by the subset relation modulo various versions of the non-stationary ideal can be embedded into the partial order of Borel equivalence relations on $2^\kappa$ under Borel reducibility. Here $\kappa$ is an uncountable regular cardinal with $\kappa^{<\kappa}=\kappa$

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,423

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

On completeness of the quotient algebras {cal P}(kappa)/I.Yasuo Kanai - 2000 - Archive for Mathematical Logic 39 (2):75-87.
Undefinability of $kappa$-Well-Orderings in $L_{inftykappa}$.Juha Oikkonen - 1997 - Journal of Symbolic Logic 62 (3):999-1020.
Borel's conjecture in topological groups.Fred Galvin & Marion Scheepers - 2013 - Journal of Symbolic Logic 78 (1):168-184.
Infinite Time Decidable Equivalence Relation Theory.Samuel Coskey & Joel David Hamkins - 2011 - Notre Dame Journal of Formal Logic 52 (2):203-228.
Strong Compactness and Stationary Sets.John Krueger - 2005 - Journal of Symbolic Logic 70 (3):767 - 777.
Polarized partition relations.James E. Baumgartner & Andras Hajnal - 2001 - Journal of Symbolic Logic 66 (2):811-821.
Normality and $\mathscr{P}(\kappa)/\mathscr{J}$.R. Zrotowski - 1991 - Journal of Symbolic Logic 56 (3):1064-1067.
Weak square bracket relations for P κ (λ).Pierre Matet - 2008 - Journal of Symbolic Logic 73 (3):729-751.
Borel structures and borel theories.Greg Hjorth & André Nies - 2011 - Journal of Symbolic Logic 76 (2):461 - 476.
The stability function of a theory.H. Jerome Keisler - 1978 - Journal of Symbolic Logic 43 (3):481-486.

Analytics

Added to PP
2013-11-22

Downloads
16 (#886,588)

6 months
11 (#225,837)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
Reflecting stationary sets and successors of singular cardinals.Saharon Shelah - 1991 - Archive for Mathematical Logic 31 (1):25-53.
Shelah's pcf theory and its applications.Maxim R. Burke & Menachem Magidor - 1990 - Annals of Pure and Applied Logic 50 (3):207-254.
On the Hamkins approximation property.William J. Mitchell - 2006 - Annals of Pure and Applied Logic 144 (1-3):126-129.

View all 8 references / Add more references