Superstable theories and representation
@article{Shelah2014SuperstableTA, title={Superstable theories and representation}, author={Saharon Shelah}, journal={arXiv: Logic}, year={2014} }
In this paper we give characterizations of the super-stable theories, in terms of an external property called representation. In the sense of the representation property, the mentioned class of first-order theories can be regarded as "not very complicated".
4 Citations
Stable theories and representation over sets
- MathematicsMath. Log. Q.
- 2016
In this paper we give characterizations of the stable and ℵ0‐stable theories, in terms of an external property called representation. In the sense of the representation property, the mentioned…
Remarks on Shelah's classification theory and Quillen's negation
- Mathematics
- 2020
— We give category-theoretic reformulations of stability, NIP, NTP, and non-dividing by observing that their characterisations in terms of indiscernible sequences are naturally expressed as Quillen…
LIST OF PUBLICATIONS
- Environmental Science
- 2022
1. Sh:a Saharon Shelah. Classification theory and the number of nonisomorphic models, volume 92 of Studies in Logic and the Foundations of Mathematics. North-Holland Publishing Co., Amsterdam-New…
Infinite Stable Graphs With Large Chromatic Number
- Mathematics
- 2020
We prove that if $G=(V,E)$ is an $\omega$-stable (respectively, superstable) graph with $\chi(G)>\aleph_0$ (respectively, $2^{\aleph_0}$) then $G$ contains all the finite subgraphs of the shift graph…
References
SHOWING 1-2 OF 2 REFERENCES
Stable theories and representation over sets
- MathematicsMath. Log. Q.
- 2016
In this paper we give characterizations of the stable and ℵ0‐stable theories, in terms of an external property called representation. In the sense of the representation property, the mentioned…