{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T08:25:47Z","timestamp":1774340747942,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2018,6,28]],"date-time":"2018-06-28T00:00:00Z","timestamp":1530144000000},"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":["Arch. Math. Logic"],"published-print":{"date-parts":[[2019,5]]},"DOI":"10.1007\/s00153-018-0635-2","type":"journal-article","created":{"date-parts":[[2018,6,28]],"date-time":"2018-06-28T08:14:33Z","timestamp":1530173673000},"page":"289-323","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["On positive local combinatorial dividing-lines in model theory"],"prefix":"10.1007","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2301-8716","authenticated-orcid":false,"given":"Vincent","family":"Guingona","sequence":"first","affiliation":[]},{"given":"Cameron Donnay","family":"Hill","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,6,28]]},"reference":[{"key":"635_CR1","unstructured":"Adler, H.: Explanation of Independence. Ph.D. thesis, Universit\u00e4t Freiburg (2005)"},{"issue":"1","key":"635_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1142\/S0219061309000811","volume":"901","author":"H Adler","year":"2009","unstructured":"Adler, H.: A geometric introduction to forking and thorn-forking. J. Math. Log. 901(1), 1\u201320 (2009)","journal-title":"J. Math. Log."},{"issue":"2","key":"635_CR3","first-page":"13","volume":"21","author":"M Bodirsky","year":"2014","unstructured":"Bodirsky, M.: New Ramsey classes from old. Electron. J. Comb. 21(2), 13 (2014). (Paper 2.22)","journal-title":"Electron. J. Comb."},{"key":"635_CR4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511549809","volume-title":"Oligomorphic Permutation Groups","author":"PJ Cameron","year":"1990","unstructured":"Cameron, P.J.: Oligomorphic Permutation Groups. Cambridge University Press, Cambridge (1990)"},{"key":"635_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139003728","volume-title":"Simple Theories and Hyperimaginaries, Volume 39 of Lecture Notes in Logic","author":"E Casanovas","year":"2011","unstructured":"Casanovas, E.: Simple Theories and Hyperimaginaries, Volume 39 of Lecture Notes in Logic. Cambridge University Press, Cambridge (2011)"},{"key":"635_CR6","unstructured":"Chernikov, A., Palacin, D., Takeuchi, K.: On $$n$$ n -dependence. Notre Dame J. Form. Log. (to appear)"},{"issue":"5","key":"635_CR7","doi-asserted-by":"publisher","first-page":"1091","DOI":"10.1016\/j.apal.2016.11.007","volume":"168","author":"V Guingona","year":"2017","unstructured":"Guingona, V., Hill, C.D., Scow, L.: Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles. Ann. Pure Appl. Log. 168(5), 1091\u20131111 (2017)","journal-title":"Ann. Pure Appl. Log."},{"key":"635_CR8","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1017\/9781009701464.007","volume":"39","author":"B Hart","year":"2000","unstructured":"Hart, B.: Stability theory and its variants. Model Theory Algebra Geom. Math. Sci. Res. Inst. Publ. 39, 131\u2013149 (2000)","journal-title":"Model Theory Algebra Geom. Math. Sci. Res. Inst. Publ."},{"key":"635_CR9","volume-title":"Model Theory, Volume 42 of Encyclopedia of Mathematics and Its Applications","author":"W Hodges","year":"1993","unstructured":"Hodges, W.: Model Theory, Volume 42 of Encyclopedia of Mathematics and Its Applications. Cambridge University Press, Cambridge (1993)"},{"key":"635_CR10","unstructured":"Hubi\u010dka, J., Ne\u0161et\u0159il, J.: Bowtie-free graphs have a Ramsey lift. arXiv:1402.2700v3 (2014)"},{"key":"635_CR11","doi-asserted-by":"crossref","unstructured":"Hubi\u010dka, J., Ne\u0161et\u0159il, J.: All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms). arXiv:1606.07979v2 (2016)","DOI":"10.1016\/j.endm.2015.06.100"},{"issue":"4","key":"635_CR12","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1305\/ndjfl\/1193667707","volume":"48","author":"R Kaye","year":"2007","unstructured":"Kaye, R., Wong, T.L.: On interpretations of arithmetic and set theory. Notre Dame J. Form. Log. 48(4), 497 (2007)","journal-title":"Notre Dame J. Form. Log."},{"issue":"1","key":"635_CR13","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1007\/s00039-005-0503-1","volume":"15","author":"A Kechris","year":"2005","unstructured":"Kechris, A., Pestov, V., Todorcevic, S.: Fra\u00efss\u00e9 limits, Ramsey theory, and topological dynamics of automorphism groups. Geom. Funct. Anal. 15(1), 106\u2013189 (2005)","journal-title":"Geom. Funct. Anal."},{"issue":"2\u20133","key":"635_CR14","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0168-0072(97)00019-5","volume":"88","author":"B Kim","year":"1997","unstructured":"Kim, B., Pillay, A.: Simple theories. Ann. Pure Appl. Log. 88(2\u20133), 149\u2013164 (1997)","journal-title":"Ann. Pure Appl. Log."},{"issue":"2","key":"635_CR15","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1305\/ndjfl\/1093636094","volume":"33","author":"DW Kueker","year":"1992","unstructured":"Kueker, D.W., Laskowski, M.C.: On generic structures. Notre Dame J. Form. Log. 33(2), 175\u2013183 (1992)","journal-title":"Notre Dame J. Form. Log."},{"issue":"2\u20133","key":"635_CR16","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1016\/j.apal.2008.09.008","volume":"157","author":"MC Malliaris","year":"2009","unstructured":"Malliaris, M.C.: Realization of $$\\varphi $$ \u03c6 -types and Keisler\u2019s order. Ann. Pure Appl. Log. 157(2\u20133), 220\u2013224 (2009)","journal-title":"Ann. Pure Appl. Log."},{"key":"635_CR17","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1016\/j.aim.2013.08.027","volume":"249","author":"M Malliaris","year":"2013","unstructured":"Malliaris, M., Shelah, S.: A dividing line within simple unstable theories. Adv. Math. 249, 250\u2013288 (2013)","journal-title":"Adv. Math."},{"key":"635_CR18","doi-asserted-by":"publisher","first-page":"614","DOI":"10.1016\/j.aim.2015.12.009","volume":"290","author":"M Malliaris","year":"2016","unstructured":"Malliaris, M., Shelah, S.: Existence of optimal ultrafilters and the fundamental complexity of simple theories. Adv. Math. 290, 614\u2013681 (2016)","journal-title":"Adv. Math."},{"key":"635_CR19","unstructured":"Malliaris, M., Shelah, S.: Keisler\u2019s order has infinitely many classes. arXiv:1503.08341v2 (2016)"},{"key":"635_CR20","volume-title":"Model Theory: An Introduction, Volume 217 of Graduate Texts in Mathematics","author":"D Marker","year":"2002","unstructured":"Marker, D.: Model Theory: An Introduction, Volume 217 of Graduate Texts in Mathematics. Springer, Berlin (2002)"},{"issue":"1\u20132","key":"635_CR21","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1017\/S0963548304006716","volume":"14","author":"J Ne\u0161et\u0159il","year":"2005","unstructured":"Ne\u0161et\u0159il, J.: Ramsey classes and homogeneous structures. Comb. Probab. Comput. 14(1\u20132), 171\u2013189 (2005)","journal-title":"Comb. Probab. Comput."},{"issue":"1\u20133","key":"635_CR22","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/0012-365X(89)90097-6","volume":"75","author":"J Ne\u0161et\u0159il","year":"1989","unstructured":"Ne\u0161et\u0159il, J., R\u00f6dl, V.: The partite construction and Ramsey set systems. Discrete Math. 75(1\u20133), 327\u2013334 (1989)","journal-title":"Discrete Math."},{"key":"635_CR23","doi-asserted-by":"publisher","first-page":"1624","DOI":"10.1016\/j.apal.2011.12.013","volume":"163","author":"L Scow","year":"2012","unstructured":"Scow, L.: Characterization of NIP theories by ordered graph-indiscernibles. Ann. Pure Appl. Log. 163, 1624\u20131641 (2012)","journal-title":"Ann. Pure Appl. Log."},{"key":"635_CR24","volume-title":"Classification Theory and the Number of Nonisomorphic Models, Volume 92 of Studies in Logic and the Foundations of Mathematics","author":"S Shelah","year":"1990","unstructured":"Shelah, S.: Classification Theory and the Number of Nonisomorphic Models, Volume 92 of Studies in Logic and the Foundations of Mathematics, 2nd edn. Elsevier, New York (1990)","edition":"2"}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-018-0635-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00153-018-0635-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-018-0635-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,5]],"date-time":"2025-07-05T11:30:26Z","timestamp":1751715026000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00153-018-0635-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,28]]},"references-count":24,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2019,5]]}},"alternative-id":["635"],"URL":"https:\/\/doi.org\/10.1007\/s00153-018-0635-2","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,28]]},"assertion":[{"value":"20 February 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 June 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 June 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}