{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,8]],"date-time":"2025-04-08T10:44:12Z","timestamp":1744109052924},"reference-count":14,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2001,1,1]],"date-time":"2001-01-01T00:00:00Z","timestamp":978307200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4580,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annals of Pure and Applied Logic"],"published-print":{"date-parts":[[2001,1]]},"DOI":"10.1016\/s0168-0072(00)00035-x","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T17:29:51Z","timestamp":1027618191000},"page":"227-238","source":"Crossref","is-referenced-by-count":10,"title":["Reflection of elementary embedding axioms on the L[V\u03bb+1] hierarchy"],"prefix":"10.1016","volume":"107","author":[{"given":"Richard","family":"Laver","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0168-0072(00)00035-X_BIB1","doi-asserted-by":"crossref","unstructured":"M. Groszek, Seminar notes on L[V\u03bb +1], 1984.","DOI":"10.1016\/0008-6223(84)90387-7"},{"key":"10.1016\/S0168-0072(00)00035-X_BIB2","unstructured":"G. Kafkoulis, An AD like axiom, seminar notes, unpublished typescript, 1989."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB3","unstructured":"G. Kafkoulis, Coding lemmata in L[V\u03bb +1], unpublished typescript, 1999."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB4","series-title":"The Higher Infinite","author":"Kanamori","year":"1994"},{"key":"10.1016\/S0168-0072(00)00035-X_BIB5","doi-asserted-by":"crossref","first-page":"407","DOI":"10.2307\/2269948","article-title":"Elementary embeddings and infinite combinatorics","volume":"3","author":"Kunen","year":"1971","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/S0168-0072(00)00035-X_BIB6","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1006\/aima.1995.1014","article-title":"On the algebra of elementary embeddings of a rank into itself","volume":"110","author":"Laver","year":"1995","journal-title":"Adv. Math."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB7","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/S0168-0072(97)00031-6","article-title":"Implications between strong large cardinal axioms","volume":"90","author":"Laver","year":"1997","journal-title":"Ann. Pure Appl. Logic"},{"key":"10.1016\/S0168-0072(00)00035-X_BIB8","unstructured":"D. Martin, Infinite games, Proc. Internat. Conf. Mathematicians, Helsinki, 1978, Academica Scientiarum Fennica, Helsinki, 269\u2013273."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB9","unstructured":"D. Martin, Woodin's proof of PD, Handwritten Notes, 1984."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB10","unstructured":"R. Solovay, Martin's proof on iterable embeddings, Handwritten Notes, 1978."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB11","unstructured":"R. Solovay, Woodin's proof on sharps, Handwritten Notes, 1981."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB12","doi-asserted-by":"crossref","first-page":"931","DOI":"10.2307\/2275105","article-title":"The well foundedness of the Mitchell order","volume":"58","author":"Steel","year":"1993","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/S0168-0072(00)00035-X_BIB13","unstructured":"H. Woodin, Embeddings j :L[V\u03bb +1] \u2192 L[V\u03bb+1], unpublished."},{"key":"10.1016\/S0168-0072(00)00035-X_BIB14","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1090\/S0002-9939-96-03281-9","article-title":"A new proof of Kunen's inconsistency","volume":"124","author":"Zapletal","year":"1996","journal-title":"Proc. AMS"}],"container-title":["Annals of Pure and Applied Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016800720000035X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016800720000035X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T21:56:24Z","timestamp":1556142984000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S016800720000035X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":14,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["S016800720000035X"],"URL":"https:\/\/doi.org\/10.1016\/s0168-0072(00)00035-x","relation":{},"ISSN":["0168-0072"],"issn-type":[{"value":"0168-0072","type":"print"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}