- 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
A Tukey decomposition of ~k~a~p~p~aLambda and the tree property for directed sets
Mathematical Logic Quarterly 51 (3):305 (2005)
Abstract
Generalizing a result of Todorčević, we prove the existence of directed sets D, E such that D ≱ [MATHEMATICAL SCRIPT CAPITAL P]κλ and E ≱ [MATHEMATICAL SCRIPT CAPITAL P]κλ but D × E ≥ [MATHEMATICAL SCRIPT CAPITAL P]κλ in the Tukey ordering. As an application, we show that the tree property for directed sets introduced by Hinnion is not preserved under products.Other Versions
No versions found
My notes
Similar books and articles
Differences of Computably Enumerable Sets.A. Nies & S. Lempp - 2000 - Mathematical Logic Quarterly 46 (4):555-562.
Cofinal types on ω 2.Borisa Kuzeljevic & Stevo Todorcevic - 2023 - Mathematical Logic Quarterly 69 (1):92-103.
Combinatorial Criteria for Ramifiable Ordered Sets.R. Hinnion & O. Esser - 2001 - Mathematical Logic Quarterly 47 (4):539-556.
Tree-Properties for Ordered Sets.Olivier Esser & Roland Hinnion - 2002 - Mathematical Logic Quarterly 48 (2):213-219.
On completely nonmeasurable unions.Szymon Żeberski - 2007 - Mathematical Logic Quarterly 53 (1):38-42.
Large Cardinals and Ramifiability for Directed Sets.R. Hinnion & O. Esser - 2000 - Mathematical Logic Quarterly 46 (1):25-34.
Mass problems and almost everywhere domination.Stephen G. Simpson - 2007 - Mathematical Logic Quarterly 53 (4):483-492.
On Computability Theoretic Properties of Structures and Their Cartesian Products.Bakhadyr Khoussainov - 2000 - Mathematical Logic Quarterly 46 (4):467-476.
Maximal Tukey types, P-ideals and the weak Rudin–Keisler order.Konstantinos A. Beros & Paul B. Larson - 2023 - Archive for Mathematical Logic 63 (3):325-352.
Analytics
Added to PP
2013-11-03
Downloads
16 (#1,263,267)
6 months
6 (#668,728)
2013-11-03
Downloads
16 (#1,263,267)
6 months
6 (#668,728)
Historical graph of downloads
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-99fc7d78b-dwqgq uwo