2 citations · 7 across the 20 of their papers we have counts for
21 papers
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…
Zilber's notion of logically perfect structure: Universal Covers
John T. Baldwin, Andrés Villaveces
We sketch recent interactions between model theory and a roughly 150-year old study of analytic functions involving complex analysis, algebraic topology, and number theory, centere…
Maximal models up to the first measurable in ZFC
John T. Baldwin, Saharon Shelah
Theorem: There is a {\em complete sentence} of such that has maximal models in a set of cardinals that is cofinal in the first measurable while has…
Hanf numbers for Extendibility and related phenomena
John T. Baldwin, Saharon Shelah
This paper contains portions of Baldwin's talk at the Set Theory and Model Theory Conference (Institute for Research in Fundamental Sciences, Tehran, October 2015) and a detailed p…
Strongly Minimal Steiner Systems II: Coordinatization and Quasigroups
John T. Baldwin
We note that a strongly minimal Steiner -Steiner system from (Baldwin-Paolini 2020) can be `coordinatized' in the sense of (Gantner-Werner 1975) by a quasigroup if i…
Strongly Minimal Steiner Systems I: Existence
John Baldwin, Gianluca Paolini
A linear space is a system of points and lines such that any two distinct points determine a unique line; a Steiner -system (for ) is a linear space such that each lin…