When is a real generic over L?
In this paper we isolate a new criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial segments of L to L[x]$L[x]$.
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| Published in | Mathematical logic quarterly Vol. 68; no. 1; pp. 27 - 31 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin
Wiley Subscription Services, Inc
01.02.2022
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| Abstract | In this paper we isolate a new criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial segments of L to L[x]$L[x]$. |
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| AbstractList | In this paper we isolate a new criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial segments of L to L[x]$L[x]$. In this paper we isolate a new abstract criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial segments of L to L[x]$L[x]$. Abstract In this paper we isolate a new abstract criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial segments of L to . |
| Author | Schindler, Ralf Castiblanco, Fabiana |
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| Cites_doi | 10.1007/978-3-319-06725-4 10.4064/fm-83-1-35-46 10.1016/j.apal.2020.102918 |
| ContentType | Journal Article |
| Copyright | 2021 The Authors. Mathematical Logic Quarterly published by Wiley‐VCH GmbH 2021. This article is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References_xml | – volume: 83 start-page: 35 issue: 1 year: 1973 end-page: 46 article-title: Characterization of generic extensions of models of set theory publication-title: Fund. Math. – volume: 172 issue: 4 year: 2021 article-title: Preserving levels of projective determinacy by tree forcings publication-title: Ann. Pure Appl. Log. – year: 2014 – start-page: 141 year: 2021 end-page: 176 – volume: 6 start-page: 117 year: 2013 end-page: 166 article-title: The extender algebra and vagaries of absoluteness publication-title: Münst. J. Math. – ident: e_1_2_5_6_1 doi: 10.1007/978-3-319-06725-4 – ident: e_1_2_5_2_1 doi: 10.4064/fm-83-1-35-46 – ident: e_1_2_5_3_1 doi: 10.1016/j.apal.2020.102918 – volume: 6 start-page: 117 year: 2013 ident: e_1_2_5_4_1 article-title: The extender algebra and vagaries of Σ21$\bm{\Sigma }^1_2$ absoluteness publication-title: Münst. J. Math. contributor: fullname: Doebler P. – start-page: 141 volume-title: Large Cardinals, Determinacy and Other Topics: The Cabal Seminar, Vol. IV year: 2021 ident: e_1_2_5_5_1 contributor: fullname: Farah I. |
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| Snippet | In this paper we isolate a new criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial segments of... Abstract In this paper we isolate a new abstract criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of... In this paper we isolate a new abstract criterion for when a given real x is generic over L in terms of being able to lift elementary embeddings of initial... |
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| Title | When is a real generic over L? |
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