{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,11]],"date-time":"2025-07-11T00:05:21Z","timestamp":1752192321899,"version":"3.41.2"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2023,12,7]],"date-time":"2023-12-07T00:00:00Z","timestamp":1701907200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2025,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>I continue the study of the blurry HOD hierarchy. The technically most involved result is that the theory ZFC + \u201c<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0022481223000919_inline1.png\"\/><jats:tex-math>\n$\\aleph _\\omega $\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> is a strong limit cardinal and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0022481223000919_inline2.png\"\/><jats:tex-math>\n$\\aleph _{\\omega +1}$\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> is the least leap\u201d is equiconsistent with the theory ZFC + \u201cthere is a measurable cardinal.\u201d<\/jats:p>","DOI":"10.1017\/jsl.2023.91","type":"journal-article","created":{"date-parts":[[2023,12,6]],"date-time":"2023-12-06T22:57:18Z","timestamp":1701903438000},"page":"822-853","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":1,"title":["MORE ON BLURRY HOD"],"prefix":"10.1017","volume":"90","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4627-3154","authenticated-orcid":false,"given":"GUNTER","family":"FUCHS","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2023,12,7]]},"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481223000919","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,10]],"date-time":"2025-07-10T10:45:15Z","timestamp":1752144315000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481223000919\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,7]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["S0022481223000919"],"URL":"https:\/\/doi.org\/10.1017\/jsl.2023.91","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"type":"print","value":"0022-4812"},{"type":"electronic","value":"1943-5886"}],"subject":[],"published":{"date-parts":[[2023,12,7]]},"assertion":[{"value":"\u00a9 The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}