7 citations · 22 across the 33 of their papers we have counts for
8 papers · 1 filter
Baumgartner's Axiom and Small Posets
Pedro Marun, Saharon Shelah, Corey Bacal Switzer
We contribute to the study of -dense sets of reals, a mainstay in set theoretic research since Baumgartner's seminal work in the 70s. In particular, we show that it is co…
Generalized sums of linear orders
Álvaro Díaz Ramos, Garrett Ervin, Saharon Shelah
We study generalized sums of linear orders. These are binary operations that, given linear orders and , return an order that can be decomposed as an isomorphic…
On the problem of stability of abstract elementary classes of modules
Gianluca Paolini, Saharon Shelah
It is an open problem of Mazari-Armida whether every abstract elementary class of -modules , with the pure submodule r…
Adding many Cohen reals
Pedro Marun, Saharon Shelah, Corey Bacal Switzer
Abstractly, the generic extensions after -many Cohen reals and -many Cohen reals must be different for reasons of uniform density the relevant Boolean algeb…
Stable amalgamation over a predicate and the Gaifman property
Saharon Shelah, Alexander Usvyatsov
We consider the following property of a first order theory T with a distinguished unary predicate P: every model of the theory of P occurs as the P-part of some model of T. We call…
Twins: non-isomorphic models forced to be isomorphic. Part I
Saharon Shelah
For which (first-order complete, usually countable) do there exist non-isomorphic models of which become isomorphic after forcing with a forcing notion ? Necess…