{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T06:44:35Z","timestamp":1698648275752},"reference-count":9,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2010,11,17]],"date-time":"2010-11-17T00:00:00Z","timestamp":1289952000000},"content-version":"vor","delay-in-days":4338,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1999,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We generalize results of [3] and [1] to hyperprojective sets of reals, viz. to more than finitely many strong cardinals being involved. We show, for example, that if every set of reals in L<jats:sub>\u03c9<\/jats:sub> (\u211d) is weakly homogeneously Souslin, then there is an inner model with an inaccessible limit of strong cardinals.<\/jats:p>","DOI":"10.1002\/malq.19990450307","type":"journal-article","created":{"date-parts":[[2010,11,17]],"date-time":"2010-11-17T16:30:38Z","timestamp":1290011438000},"page":"361-369","source":"Crossref","is-referenced-by-count":2,"title":["Strong Cardinals and Sets of Reals in <i>L<\/i><sub>\u03c91<\/sub>(\u211d)"],"prefix":"10.1002","volume":"45","author":[{"given":"Ralf\u2010Dieter","family":"Schindler","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2010,11,17]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(94)00041-Z"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(97)00014-6"},{"key":"e_1_2_1_4_2","unstructured":"Hauser K. andR.\u2010D.Schindler Projective uniformization revisited. Ann. Pure Appl. Logic (submitted)."},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0894-0347-1994-1224594-7","article-title":"Iteration trees","volume":"7","author":"Martin D. A.","year":"1994","journal-title":"J. Amer. Math. Soc."},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.1995.v2.n5.a6"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02760522"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0071699"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-22485-4"},{"key":"e_1_2_1_10_2","first-page":"365","volume-title":"Logic Colloquium '81","author":"Woodin H.","year":"1982"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19990450307","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19990450307","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T17:38:06Z","timestamp":1698601086000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19990450307"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["10.1002\/malq.19990450307"],"URL":"https:\/\/doi.org\/10.1002\/malq.19990450307","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}