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ON CUTS IN ULTRAPRODUCTS OF LINEAR ORDERS II
| Content Provider | Scilit |
|---|---|
| Author | Golshani, Mohammad Shelah, Saharon |
| Copyright Year | 2018 |
| Description | We continue our study of the class ${\cal C}\left( D \right)$ , where D is a uniform ultrafilter on a cardinal κ and ${\cal C}\left( D \right)$ is the class of all pairs $\left( {{\theta _1},{\theta _2}} \right)$ , where $\left( {{\theta _1},{\theta _2}} \right)$ is the cofinality of a cut in ${J^\kappa }/D$ and J is some ${\left( {{\theta _1} + {\theta _2}} \right)^ + }$ -saturated dense linear order. We give a combinatorial characterization of the class ${\cal C}\left( D \right)$ . We also show that if $\left( {{\theta _1},{\theta _2}} \right) \in {\cal C}\left( D \right)$ and D is ${\aleph _1}$ -complete or ${\theta _1} + {\theta _2} > {2^\kappa }$ , then ${\theta _1} = {\theta _2}$ . |
| Related Links | http://arxiv.org/pdf/1604.06044 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/76ED048E6C1FEA8408A761D0760B067F/S0022481217000871a.pdf/div-class-title-on-cuts-in-ultraproducts-of-linear-orders-ii-div.pdf |
| Ending Page | 39 |
| Page Count | 11 |
| Starting Page | 29 |
| ISSN | 00224812 |
| e-ISSN | 19435886 |
| DOI | 10.1017/jsl.2017.87 |
| Journal | The Journal of Symbolic Logic |
| Issue Number | 1 |
| Volume Number | 83 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2018-03-01 |
| Access Restriction | Open |
| Subject Keyword | The Journal of Symbolic Logic Saturated Linear Product |
| Content Type | Text |
| Resource Type | Article |
| Subject | Philosophy Logic |
