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FROM A1 TO D5: TOWARDS A FORCING-RELATED CLASSIFICATION OF RELATIONAL STRUCTURES

Published online by Cambridge University Press:  17 April 2014

MILOŠ S. KURILIĆ
MILOŠ S. KURILIĆ*
Affiliation:
DEPARTMENT OF MATHEMATICS AND INFORMATICS, UNIVERSITY OF NOVI SAD TRG DOSITEJA OBRADOVIĆA 4, 21000 NOVI SAD, SERBIA.E-mail:milos@dmi.uns.ac.rs
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Abstract

We investigate the partial orderings of the form P(X),⊂〉, where X is a relational structure and P(X) the set of the domains of its isomorphic substructures. A rough classification of countable binary structures corresponding to the forcing-related properties of the posets of their copies is obtained.

Keywords

03C1503E4006A10Relational structureisomorphic substructureposetforcing
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 1 , March 2014 , pp. 279 - 295
Copyright
Copyright © Association for Symbolic Logic 2014 

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References

REFERENCES

Kechris, A. S., Classical descriptive set theory, Graduate Texts in Mathematics, vol. 156, Springer-Verlag, New York, 1995.CrossRefGoogle Scholar
Kunen, K., Set theory. An introduction to independence proofs, Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland, Amsterdam, New York, 1980.Google Scholar
Kurilić, M. S. and Todorčevi&cacute, S., Forcing by non-scattered sets. Annals of Pure and Applied Logic, vol. 163 (2012), pp. 1299–1308.Google Scholar
Kurili&cacute, M. S., Maximally embeddable components. Archive for Mathematical Logic, vol. 52 (2013), no. 7, pp. 793–808.Google Scholar
Kurili&cacute, M. S., Posets of copies of countable scattered linear orders. Annals of Pure and Applied Logic, vol. 165 (2014), pp. 895–912.Google Scholar
Kurili&cacute, M. S., Forcing with copies of countable ordinals. Proceedings of the American Mathematical Society, (to appear).Google Scholar
Kurili&cacute, M. S., Embedding-minimal structures, submitted.Google Scholar
Pouzet, M., Relations impartibles, Dissertationes Mathematicae (Rozprawy Matematyczne), vol. 193 (1981).Google Scholar
Shelah, S. and Spinas, O., The distributivity numbers of P(w)/ fin and its square. Transactions of the American Mathematical Society, vol. 352 (2000), no. 5, pp. 2023–2047.Google Scholar
Talagrand, M., Compacts de fonctions mesurables et filtres non mesurables. Studia Mathematica, vol. 67 (1980), no. 1, pp. 13–43.Google Scholar