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CATEGORICITY IN QUASIMINIMAL PREGEOMETRY CLASSES
| Content Provider | Scilit |
|---|---|
| Author | Haykazyan, Levon |
| Copyright Year | 2016 |
| Description | Quasiminimal pregeometry classes were introduced by [6] to isolate the model theoretical core of several interesting examples. He proves that a quasiminimal pregeometry class satisfying an additional axiom, called excellence, is categorical in all uncountable cardinalities. Recently, [2] showed that the excellence axiom follows from the rest of the axioms. In this paper we present a direct proof of the categoricity result without using excellence. |
| Related Links | http://arxiv.org/pdf/1308.1892.pdf https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C5348A72CCF16AC9C867467539CD6DAF/S002248121400036Xa.pdf/div-class-title-categoricity-in-quasiminimal-pregeometry-classes-div.pdf |
| Ending Page | 64 |
| Page Count | 9 |
| Starting Page | 56 |
| ISSN | 00224812 |
| e-ISSN | 19435886 |
| DOI | 10.1017/jsl.2014.36 |
| Journal | The Journal of Symbolic Logic |
| Issue Number | 1 |
| Volume Number | 81 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2016-03-01 |
| Access Restriction | Open |
| Subject Keyword | The Journal of Symbolic Logic |
| Content Type | Text |
| Resource Type | Article |
| Subject | Philosophy Logic |