S. Shelah

activity

19932026

most citedKeisler's order has infinitely many classes

7 citations · 22 across the 33 of their papers we have counts for

collaborators

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29 papers · 1 filter

math.LO2026

Representing a ring as the endomorphism ring of an abelian group

Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah

We investigate Baer's realization problem for almost free abelian groups, focusing on the extent to which rings can be represented as endomorphism rings under strong freeness condi…

math.LO2026

Limit laws for component-pruned sparse random graphs and percolated tori

Mostafa Mirabi, Saharon Shelah

We prove an $MSO_{2}$ zero-one law for a very sparse Erdős-Rényi graph after pruning by component order. Let $p_{n} = c_{n} / n$ , where $c_{n} \to 0$ , and delete every component of orde…

math.LO2026

Discontinuous homomophisms without Hamel bases

Paul Larson, Saharon Shelah

We produce a model of ZF + DC in which there exists a discontinuous homomorphism from the real line to itself but no Hamel basis for the real line, and prove a generalization of th…

math.LO2026

Model-theoretic Tameness in finite extensions of groups

Yatir Halevi, Saharon Shelah

It is shown that finite-index extensions and finite-index subgroups of $ω$ -stable groups can be model-theoretically wild. More precisely, there exists an $ω$ -stable group $G$ such…

math.LO2026

Homogeneous forcing

Saharon Shelah

Assume $κ = κ^{< κ}$ (usually $ℵ_{0}$ or an inaccessible). We shall deal with iterated forcings preserving $^{κ >} Ord$ and not collapsing cardinals along a linear order $L…

math.LO2026

Super Black Boxes Revisited

Saharon Shelah

Let $κ, θ < λ$ be cardinals, with $λ$ and $κ$ regular. Concentrating on a simple case, we say that the triple $(λ, κ, θ)$ has a Super Black Box when the following holds. For some sta…