An extension of Shelah’s trichotomy theorem

Archive for Mathematical Logic 58 (1-2):137-153 (2019)
Shelah develops the theory of \\) without the assumption that \\), going so far as to get generators for every \\) under some assumptions on I. Our main theorem is that we can also generalize Shelah’s trichotomy theorem to the same setting. Using this, we present a different proof of the existence of generators for \\) which is more in line with the modern exposition. Finally, we discuss some obstacles to further generalizing the classical theory.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1007/s00153-018-0631-6
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,113
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Club-Guessing, Stationary Reflection, and Coloring Theorems.Todd Eisworth - 2010 - Annals of Pure and Applied Logic 161 (10):1216-1243.
Exact Upper Bounds and Their Uses in Set Theory.Menachem Kojman - 1998 - Annals of Pure and Applied Logic 92 (3):267-282.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Exact Upper Bounds and Their Uses in Set Theory.Menachem Kojman - 1998 - Annals of Pure and Applied Logic 92 (3):267-282.
Notes on Quasiminimality and Excellence.John T. Baldwin - 2004 - Bulletin of Symbolic Logic 10 (3):334-366.
A Note on Extensions of Infinitary Logic.Saharon Shelah & Jouko Väänänen - 2004 - Archive for Mathematical Logic 44 (1):63-69.
A Proof of Shelah's Partition Theorem.Menachem Kojman - 1995 - Archive for Mathematical Logic 34 (4):263-268.
Tait's Conservative Extension Theorem Revisited.Ryota Akiyoshi - 2010 - Journal of Symbolic Logic 75 (1):155-167.
Local Order Property in Nonelementary Classes.Rami Grossberg & Olivier Lessmann - 2000 - Archive for Mathematical Logic 39 (6):439-457.
The Equality S1 = D = R.Rami Grossberg, Alexei Kolesnikov, Ivan Tomašić & Monica Van Dieren - 2003 - Mathematical Logic Quarterly 49 (2):115-128.
The Translation Theorem.Peter Cholak - 1994 - Archive for Mathematical Logic 33 (2):87-108.
Query the Triple Loophole of the Proof of Gödel Incompleteness Theorem.FangWen Yuan - 2008 - Proceedings of the Xxii World Congress of Philosophy 41:77-94.


Added to PP index

Total views
5 ( #788,477 of 2,313,514 )

Recent downloads (6 months)
4 ( #219,120 of 2,313,514 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature