We continue a new approach to Shelah stability theory (in classical logic), which was followed in [2], [3]. This approach is based on the fact that the study of the model-theoretic properties of formulas in �models� instead of only these properties in �theories� develops a sharper stability theory and establishes important links between model theory and other areas of mathematics. These links lead to new results as well as better understanding of the known results.
References
[1] K. Khanaki, Dividing lines in unstable theories and subclasses of Baire 1 functions, arXiv: https://arxiv.org/abs/1904.09486
[2] K. Khanaki, Stability, NIP, and NSOP; Model Theoretic properties of Formulas via Topological Properties of Function Spaces, Math. Log. Quart., accepted, arXiv:1410.3339v7
[3] K. Khanaki, A. Pillay, Remarks on NIP in a model, Math. Log. Quart. 64, No. 6, 429-434 (2018) / DOI 10.1002/malq.201700070
[4] S. Shelah, Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory, Annals of Mathematical Logic, vol. 3 (1971), no. 3, pp. 271-362.