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- Tel Aviv UniversityIL388 papers
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9 papers · 2 filters
Separating cardinal characteristics of the strong measure zero ideal
Jörg Brendle, Miguel A. Cardona, Diego A. Mejía
Let be the -ideal of the strong measure zero sets of reals. We present general properties of forcing notions that allow to control of the additivity of $\mathcal{…
When does -categoricity imply -stability?
John T. Baldwin, M. C. Laskowski, Saharon Shelah
For an -categorical atomic class, we clarify the space of types over the unique model of size . Using these results, we prove that if such a class has a model o…
Tiltan and superclub
Shimon Garti, Saharon Shelah
We force superclub with an arbitrary large value of cov(). We force tiltan with an arbitrary large value of add(). Finally, we obtain a negative square br…
The monadic theory of order
Saharon Shelah
We deal with the monadic (second-order) theory of order. We prove all known results in a unified way, show a general way of reduction, prove more results and show the limitation on…
More Ramsey theory for highly connected monochromatic subgraphs
Michael Hrušák, Saharon Shelah, Jing Zhang
An infinite graph is said to be highly connected if the induced subgraph on the complement of any set of vertices of smaller size is connected. We continue the study of weaker vers…
More about the cofinality and the covering of the ideal of strong measure zero sets
Miguel A. Cardona, Diego A. Mejía
We improve the previous work of Yorioka and the first author about the combinatorics of the ideal of strong measure zero sets of reals. We refine the notions of domi…