{"title":"强迫π31还原性质与π31均匀化的一次失败","authors":"Stefan Hoffelner","doi":"10.1016/j.apal.2023.103292","DOIUrl":null,"url":null,"abstract":"<div><p>We generically construct a model in which the <span><math><msubsup><mrow><mi>Π</mi></mrow><mrow><mn>3</mn></mrow><mrow><mn>1</mn></mrow></msubsup></math></span>-reduction property is true and the <span><math><msubsup><mrow><mi>Π</mi></mrow><mrow><mn>3</mn></mrow><mrow><mn>1</mn></mrow></msubsup></math></span>-uniformization property is false, thus producing a model which separates these two principles for the first time.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Forcing the Π31-reduction property and a failure of Π31-uniformization\",\"authors\":\"Stefan Hoffelner\",\"doi\":\"10.1016/j.apal.2023.103292\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We generically construct a model in which the <span><math><msubsup><mrow><mi>Π</mi></mrow><mrow><mn>3</mn></mrow><mrow><mn>1</mn></mrow></msubsup></math></span>-reduction property is true and the <span><math><msubsup><mrow><mi>Π</mi></mrow><mrow><mn>3</mn></mrow><mrow><mn>1</mn></mrow></msubsup></math></span>-uniformization property is false, thus producing a model which separates these two principles for the first time.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0168007223000490\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0168007223000490","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Forcing the Π31-reduction property and a failure of Π31-uniformization
We generically construct a model in which the -reduction property is true and the -uniformization property is false, thus producing a model which separates these two principles for the first time.
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