{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,16]],"date-time":"2025-07-16T12:08:56Z","timestamp":1752667736029,"version":"3.37.3"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T00:00:00Z","timestamp":1609891200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T00:00:00Z","timestamp":1609891200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["18K03397"],"award-info":[{"award-number":["18K03397"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100010485","name":"Japan Student Services Organization","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100010485","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Arch. Math. Logic"],"published-print":{"date-parts":[[2021,5]]},"DOI":"10.1007\/s00153-020-00751-6","type":"journal-article","created":{"date-parts":[[2021,4,5]],"date-time":"2021-04-05T15:02:40Z","timestamp":1617634960000},"page":"495-523","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Strong downward L\u00f6wenheim\u2013Skolem theorems for stationary logics, II: reflection down to the continuum"],"prefix":"10.1007","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8884-6005","authenticated-orcid":false,"given":"Saka\u00e9","family":"Fuchino","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1802-9074","authenticated-orcid":false,"given":"Andr\u00e9","family":"Ottenbreit Maschio Rodrigues","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0950-7647","authenticated-orcid":false,"given":"Hiroshi","family":"Sakai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,1,6]]},"reference":[{"issue":"2","key":"751_CR1","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1090\/S0002-9947-1982-0645330-7","volume":"270","author":"JE Baumgartner","year":"1982","unstructured":"Baumgartner, J.E., Taylor, A.D.: Saturation properties of ideals in generic extensions I. Trans. Am. Math. Soc. 270(2), 557\u2013574 (1982)","journal-title":"Trans. Am. Math. Soc."},{"key":"751_CR2","unstructured":"Brickhill, H., Fuchino, S., Sakai, H.: On $$\\alpha $$-stationary subsetes of $${\\cal{P}_\\kappa (\\lambda )}$$ (in preparation)"},{"issue":"3","key":"751_CR3","doi-asserted-by":"publisher","first-page":"963","DOI":"10.2307\/2586614","volume":"64","author":"P Corazza","year":"1999","unstructured":"Corazza, P.: Laver sequences for extendible and super-almost-huge cardinals. J. Symb. Log. 64(3), 963\u2013983 (1999)","journal-title":"J. Symb. Log."},{"issue":"8","key":"751_CR4","doi-asserted-by":"publisher","first-page":"2893","DOI":"10.1090\/S0002-9939-2011-11103-1","volume":"140","author":"S Cox","year":"2012","unstructured":"Cox, S.: The diagonal reflection principle. Proc. Am. Math. Soc. 140(8), 2893\u20132902 (2012)","journal-title":"Proc. Am. Math. Soc."},{"key":"751_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-020-00730-x","author":"S Fuchino","year":"2020","unstructured":"Fuchino, S., Rodrigues, A.O.M., Sakai, H.: Strong downward L\u00f6wenheim\u2013Skolem theorems for stationary logics, I. Arch. Math. Log. (2020). https:\/\/doi.org\/10.1007\/s00153-020-00730-x","journal-title":"Arch. Math. Log."},{"key":"751_CR6","unstructured":"Fuchino, S., Rodrigues, A.O.M., Sakai, H.: Strong downward L\u00f6wenheim\u2013Skolem theorems for stationary logics, III\u2014mixed support iteration. In: Proceedings of the Asian Logic Conference 2019 (to appear)"},{"key":"751_CR7","unstructured":"Fuchino, S., Sakai, H.: Strong downward L\u00f6wenheim\u2013Skolem theorems for stationary logics, IV\u2014more on Laver-generically large cardinals and mixed support iterations (in preparation)"},{"key":"751_CR8","unstructured":"Jech, T.: Set Theory, The Third Millennium Edition. Springer, Berlin (2001\/2006)"},{"key":"751_CR9","unstructured":"Kanamori, A.: The Higher Infinite. Springer, Berlin (1994\/2003)"},{"key":"751_CR10","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1016\/j.apal.2018.12.003","volume":"170","author":"Y Matsubara","year":"2019","unstructured":"Matsubara, Y., Sakai, H., Usuba, T.: On the existence of skinny stationary subsets. Ann. Pure Appl. Log. 170, 539\u2013557 (2019)","journal-title":"Ann. Pure Appl. Log."}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-020-00751-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00153-020-00751-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-020-00751-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,5]],"date-time":"2021-04-05T15:03:29Z","timestamp":1617635009000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00153-020-00751-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,6]]},"references-count":10,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2021,5]]}},"alternative-id":["751"],"URL":"https:\/\/doi.org\/10.1007\/s00153-020-00751-6","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"type":"print","value":"0933-5846"},{"type":"electronic","value":"1432-0665"}],"subject":[],"published":{"date-parts":[[2021,1,6]]},"assertion":[{"value":"18 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 January 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}