{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,4]],"date-time":"2023-09-04T14:20:51Z","timestamp":1693837251796},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2006,6,29]],"date-time":"2006-06-29T00:00:00Z","timestamp":1151539200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Arch. Math. Logic"],"published-print":{"date-parts":[[2006,8]]},"DOI":"10.1007\/s00153-006-0005-3","type":"journal-article","created":{"date-parts":[[2006,6,28]],"date-time":"2006-06-28T15:59:43Z","timestamp":1151510383000},"page":"721-737","source":"Crossref","is-referenced-by-count":4,"title":["The Consistency Strength of $$\\aleph_{\\omega}$$ and $$\\aleph_{{\\omega}_1}$$ Being Rowbottom Cardinals Without the Axiom of Choice"],"prefix":"10.1007","volume":"45","author":[{"given":"Arthur W.","family":"Apter","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Koepke","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,6,29]]},"reference":[{"key":"5_CR1","doi-asserted-by":"crossref","first-page":"225","DOI":"10.2307\/2275606","volume":"61","author":"A. Apter","year":"1996","unstructured":"Apter A. (1996) AD and patterns of singular cardinals below \u0398. J. Symbolic Log. 61, 225\u2013235","journal-title":"J. Symbolic Log."},{"key":"5_CR2","doi-asserted-by":"crossref","first-page":"33","DOI":"10.4064\/fm-116-1-33-38","volume":"116","author":"A. Apter","year":"1983","unstructured":"Apter A. (1983) On a problem of Silver. Fundam. Math. 116, 33\u201338","journal-title":"Fundam. Math."},{"key":"5_CR3","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1007\/s001530050146","volume":"39","author":"A. Apter","year":"2000","unstructured":"Apter A. (2000) On a problem of Woodin. Arch. Math. Log. 39, 253\u2013259","journal-title":"Arch. Math. Log."},{"key":"5_CR4","unstructured":"Bull, E. Large cardinals without the Axiom of Choice. Doctoral Dissertation, M.I.T. (1976)"},{"key":"5_CR5","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511600586","volume-title":"The core model","author":"A.J. Dodd","year":"1982","unstructured":"Dodd A.J. (1982) The core model. London Mathematical Society Lecture Note Series #61, Cambridge University Press, Cambridge"},{"key":"5_CR6","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0003-4843(81)90011-5","volume":"20","author":"A.J. Dodd","year":"1981","unstructured":"Dodd A.J., Jensen R.B. (1981) The core model. Ann. Math. Log. 20, 43\u201375","journal-title":"Ann. Math. Log."},{"key":"5_CR7","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0003-4843(82)90018-3","volume":"22","author":"A.J. Dodd","year":"1982","unstructured":"Dodd A.J., Jensen R.B. (1982) The covering lemma for L[U]. Ann. Math. Log. 22, 127\u2013135","journal-title":"Ann. Math. Log."},{"key":"5_CR8","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/0168-0072(88)90026-7","volume":"37","author":"P. Koepke","year":"1988","unstructured":"Koepke P. (1988) Some applications of short core models. Ann. Pure Appl. Log. 37, 179\u2013204","journal-title":"Ann. Pure Appl. Log."},{"key":"5_CR9","doi-asserted-by":"crossref","first-page":"1198","DOI":"10.2307\/2274272","volume":"49","author":"P. Koepke","year":"1984","unstructured":"Koepke P. (1984) The consistency strength of the free-subset property for \u03c9 \u03c9 . J. Symbolic Log. 49, 1198\u20131204","journal-title":"J. Symbolic Log."},{"key":"5_CR10","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1007\/BF02771612","volume":"5","author":"A. L\u00e9vy","year":"1967","unstructured":"L\u00e9vy A., Solovay R. (1967) Measurable cardinals and the continuum hypothesis. Isr. J. Math. 5, 234\u2013248","journal-title":"Isr. J. Math."},{"key":"5_CR11","doi-asserted-by":"crossref","first-page":"139","DOI":"10.2307\/2586755","volume":"64","author":"R. Schindler","year":"1999","unstructured":"Schindler R. (1999) Successive weakly compact or singular cardinals. J. Symbolic Log. 64, 139\u2013146","journal-title":"J. Symbolic Log."},{"key":"5_CR12","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0003-4843(71)90010-6","volume":"3","author":"J. Silver","year":"1970","unstructured":"Silver J. (1970) Some applications of model theory in set theory. Ann. Math. Log. 3, 45\u2013110","journal-title":"Ann. Math. Log."}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-006-0005-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00153-006-0005-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-006-0005-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T19:36:41Z","timestamp":1558640201000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00153-006-0005-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6,29]]},"references-count":12,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2006,8]]}},"alternative-id":["5"],"URL":"https:\/\/doi.org\/10.1007\/s00153-006-0005-3","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,6,29]]}}}