324 citations · 1.7k across the 753 of their papers we have counts for
19 papers · 2 filters
Modules and Infinitary Logics
Saharon Shelah
We prove that the theory of abelian groups and R-modules even in infinitary logic is stable and understood to some extent.
Beginning of stability theory for Polish Spaces
Saharon Shelah
We consider stability theory for Polish spaces and more generally for definable structures (say, with elements of a set of reals). We clarify by proving some equivalent conditions…
General Non-structure Theory
Saharon Shelah
The theme of the first two sections, is to prepare the framework of how from a "complicated" family of index models I in K_1 we build many and/or complicated structures in a class…
A dependent theory with few indiscernibles
Itay Kaplan, Saharon Shelah
We give a full solution to the question of existence of indiscernibles in dependent theories by proving the following theorem: for every there is a dependent theory of size…
Inner product space with no ortho-normal basis without choice
Saharon Shelah
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
Examples in dependent theories
Itay Kaplan, Saharon Shelah
In the first part we show a counterexample to a conjecture by Shelah regarding the existence of indiscernible sequences in dependent theories (up to the first inaccessible cardinal…