How to Cite
Abstract
En este trabajo es un acercamiento a las álgebras booleanas super-magras que permiten estudiar facetas de la teoría de modelos presentes en la demostración del teorema de Morley. Esencialmente son álgebras booleanas tales que su espacio de Stone no crece demasiado. Su estudio permitirá simplifi car algunos argumentos involucrados en el teorema de Morley, entre ellos la siguiente impli- cación: Si T es una teoría ω-estable enumerable con modelos infi - nitos entonces T es k -estable para todo k ≥ ωReferences
•[BM] J. L. Bell, M. Machover A course in Mathematical Logic. North-Holland, Amsterdam, 977.
• [BS] J. L. Bell, A. B. Slomson. Models and Ultrapro- ducts, North-Holland, Amsterdam, 97.
• [B] S. Buechler. Essential Stability Theory. Springer- Verlag, New York, 996.
• [C] E. Casanovas. Teoría de Modelos. Preprint, 2000.
• [CK] C. C. Chang, H. J. Keisler. Model Theory. North- Holland, Amsterdam, 973.
• [K78] J. Knight. Prime and Atomic Models. The Journal of Symbolic Logic, Vol 43, Num 3, 385-393.
• [M65] M. Morley. Categoricity in Power. Trans. Amer. Math. Soc, 4, 54-538, 965.
• [S] G. Sacks. Saturated Model Theory. W. A. Benjamin, Inc. Reading, Massachusetts, 972.
• [St36] M.H. Stone. The theory of representation for Boolean algebras. Trans. Amer. Math. Soc, 40, 37-.
• [St37] M.H. Stone. Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. Soc, 4, 375-38.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
Panorama by Institución Universitaria Politécnico Grancolombiano is licensed under a Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Unported License.