{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T23:03:00Z","timestamp":1778540580835,"version":"3.51.4"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,1,24]],"date-time":"2018-01-24T00:00:00Z","timestamp":1516752000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s11083-018-9452-9","type":"journal-article","created":{"date-parts":[[2018,1,24]],"date-time":"2018-01-24T13:01:47Z","timestamp":1516798907000},"page":"19-22","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Note on Hindman-Type Theorems for Uncountable Cardinals"],"prefix":"10.1007","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8238-0315","authenticated-orcid":false,"given":"Lorenzo","family":"Carlucci","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,1,24]]},"reference":[{"key":"9452_CR1","volume-title":"Ramsey Methods in Analysis. Advanced Courses in Mathematics CRM Barcelona","author":"S Argyros","year":"2005","unstructured":"Argyros, S., Todorcevic, S.: Ramsey Methods in Analysis. Advanced Courses in Mathematics CRM Barcelona. Birkh\u00e4user, Basel-Boston-Berlin (2005)"},{"key":"9452_CR2","doi-asserted-by":"publisher","first-page":"384","DOI":"10.1016\/0097-3165(74)90103-4","volume":"17","author":"JE Baumgartner","year":"1974","unstructured":"Baumgartner, J.E.: A short proof of Hindman\u2019s Theorem. Journal of Combinatorial Theory Series A 17, 384\u2013386 (1974)","journal-title":"Journal of Combinatorial Theory Series A"},{"issue":"1","key":"9452_CR3","doi-asserted-by":"crossref","first-page":"27","DOI":"10.4064\/fm-160-1-27-37","volume":"160","author":"T Bigorajska","year":"1999","unstructured":"Bigorajska, T., Kotlarski, H.: A partition theorem for \u03b1-large set. Fundam. Math. 160(1), 27\u201337 (1999)","journal-title":"Fundam. Math."},{"key":"9452_CR4","unstructured":"Carlucci, L.: \u201cWeak yet strong\u201d restrictions of hindman\u2019s finite sums theorem. Published on arxiv, 24 October 2016, arXiv: 1610.07500 . To Appear in Proceedings of the American Mathematical Society"},{"key":"9452_CR5","first-page":"211","volume":"60","author":"G Elekes","year":"1991","unstructured":"Elekes, G., Hajnal, A., Komj\u00e1th, P.: Partition theorems for the power set. Colloquia Mathematica Societatis J\u00e1nos Bolyai. Sets, graphs, and numbers. Budapest (Hungary) 60, 211\u2013217 (1991)","journal-title":"Sets, graphs, and numbers. Budapest (Hungary)"},{"key":"9452_CR6","first-page":"403","volume":"10","author":"P Erdo\u030bs","year":"1973","unstructured":"Erdo\u030bs, P.: Problems and results on finite and infinite combinatorial analysis. Colloquia Mathematica Societatis J\u00e1nos Bolyai. Infinite and Finite Sets 10, 403\u2013424 (1973)","journal-title":"Infinite and Finite Sets"},{"key":"9452_CR7","volume-title":"Combinatorial Set Theory: Partition Relations for Cardinals. Studies in Logic and the Foundations of Mathematics, vol. 106","author":"P Erdo\u030bs","year":"1984","unstructured":"Erdo\u030bs, P., Hajnal, A., M\u00e1t\u00e9, A., Rado, R.: Combinatorial Set Theory: Partition Relations for Cardinals. Studies in Logic and the Foundations of Mathematics, vol. 106. North-Holland Publishing Co., Amsterdam (1984)"},{"key":"9452_CR8","unstructured":"Fern\u00e1ndez-Bret\u00f3n, D.: Hindman\u2019s theorem is only a countable pheonomenon. To Appear in Order, Published Online 12\/06\/2016"},{"key":"9452_CR9","unstructured":"Fern\u00e1ndez-Bret\u00f3n, D., Rinot, A.: Strong failures of higher analogs of hindman\u2019s theorem. To Appear in Transactions of the American Mathematical Society"},{"key":"9452_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0097-3165(74)90023-5","volume":"17","author":"N Hindman","year":"1974","unstructured":"Hindman, N.: Finite sums from sequences within cells of a partition of N. Journal of Combinatorial Theory Series A 17, 1\u201311 (1974)","journal-title":"Journal of Combinatorial Theory Series A"},{"key":"9452_CR11","doi-asserted-by":"publisher","unstructured":"Hindman, N., Leader, I., Strauss, D.: Pairwise sums in colorings of the reals. Abh. Math. Semin. Univ. Hambg. https:\/\/doi.org\/10.1007\/s12188-016-0166-x (2016)","DOI":"10.1007\/s12188-016-0166-x"},{"issue":"1","key":"9452_CR12","doi-asserted-by":"publisher","first-page":"227","DOI":"10.14321\/realanalexch.41.1.0227","volume":"41","author":"P Komj\u00e1th","year":"2016","unstructured":"Komj\u00e1th, P.: A certain 2-coloring of the reals. Real Analysis Exchange 41(1), 227\u2013231 (2016)","journal-title":"Real Analysis Exchange"},{"key":"9452_CR13","unstructured":"Komj\u00e1th, P.: A ramsey statement for infinite groups. To Appear in Combinatorica"},{"key":"9452_CR14","unstructured":"Sanders, J.H.: A Generalization of Schur\u2019s Theorem. Ph.D. thesis, Yale University (1968)"},{"key":"9452_CR15","unstructured":"Soukup, D.T., Weiss, W.: Sums and anti-ramsey colourings of \u211d. Available at http:\/\/www.logic.univie.ac.at\/~soukupd73\/finset_colouring.pdf (2015)"},{"key":"9452_CR16","first-page":"212","volume":"15","author":"BL Waerden van der","year":"1927","unstructured":"van der Waerden, B.L.: Beweis einer Baudetschen Vermutung. Nieuw Arch. Wisk. 15, 212\u2013216 (1927)","journal-title":"Nieuw Arch. Wisk."}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-018-9452-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-018-9452-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-018-9452-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,13]],"date-time":"2022-08-13T03:29:10Z","timestamp":1660361350000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-018-9452-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,24]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["9452"],"URL":"https:\/\/doi.org\/10.1007\/s11083-018-9452-9","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"value":"0167-8094","type":"print"},{"value":"1572-9273","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1,24]]},"assertion":[{"value":"7 April 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 January 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 January 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}