{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T11:12:01Z","timestamp":1780485121579,"version":"3.54.1"},"reference-count":33,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T00:00:00Z","timestamp":1758758400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2026,6]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    This article is a contribution to the \u201cneostability\u201d type of result for abstract elementary classes. Under certain set theoretic assumptions, we propose a definition and a characterization of NIP in AECs. The class of AECs with NIP properly contains the class of stable AECs.\n                    <jats:sup>1<\/jats:sup>\n                    We show that for an AEC\n                    <jats:italic>K<\/jats:italic>\n                    and\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" content-type=\"simple\" xlink:href=\"S002248122510145X_inline1.png\">\n                          <jats:alt-text content-type=\"machine-generated\">lamda greater than or equals upper L upper S left parenthesis upper K right parenthesis<\/jats:alt-text>\n                        <\/jats:inline-graphic>\n                        <jats:tex-math>$\\lambda \\geq LS(K)$<\/jats:tex-math>\n                        <mml:math xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xmlns:mnf=\"http:\/\/cambridge.org\/core\/manifest\" xmlns:cup=\"http:\/\/contentservices.cambridge.org\" xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/cambridge.org\/core\/metadata\" xmlns:core=\"http:\/\/cambridge.org\/core\" xmlns:c=\"http:\/\/cambridge.org\/core\/content\" display=\"inline\">\n                          <mml:mrow>\n                            <mml:mi>\u03bb<\/mml:mi>\n                            <mml:mo>\u2265<\/mml:mo>\n                            <mml:mi>L<\/mml:mi>\n                            <mml:mi>S<\/mml:mi>\n                            <mml:mo stretchy=\"false\" form=\"prefix\" fence=\"true\">(<\/mml:mo>\n                            <mml:mi>K<\/mml:mi>\n                            <mml:mo stretchy=\"false\" form=\"postfix\" fence=\"true\">)<\/mml:mo>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    ,\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" content-type=\"simple\" xlink:href=\"S002248122510145X_inline2.png\">\n                          <jats:alt-text content-type=\"machine-generated\">upper K Subscript lamda<\/jats:alt-text>\n                        <\/jats:inline-graphic>\n                        <jats:tex-math>$K_\\lambda $<\/jats:tex-math>\n                        <mml:math xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xmlns:mnf=\"http:\/\/cambridge.org\/core\/manifest\" xmlns:cup=\"http:\/\/contentservices.cambridge.org\" xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/cambridge.org\/core\/metadata\" xmlns:core=\"http:\/\/cambridge.org\/core\" xmlns:c=\"http:\/\/cambridge.org\/core\/content\" display=\"inline\">\n                          <mml:msub>\n                            <mml:mi>K<\/mml:mi>\n                            <mml:mi>\u03bb<\/mml:mi>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    is NIP if and only if there is a notion of nonforking on it which we call a w*-good frame. On the other hand, the negation of NIP leads to being able to encode subsets.\n                  <\/jats:p>","DOI":"10.1017\/jsl.2025.10145","type":"journal-article","created":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T07:22:01Z","timestamp":1758784921000},"page":"731-747","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":0,"title":["AN NIP-LIKE NOTION IN ABSTRACT ELEMENTARY CLASSES"],"prefix":"10.1017","volume":"91","author":[{"given":"WENTAO","family":"YANG","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/0106qb496","id-type":"ROR","asserted-by":"publisher"}],"name":"INNER MONGOLIA UNIVERSITY"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2025,9,25]]},"reference":[{"key":"S002248122510145X_r17","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(71)90015-5"},{"key":"S002248122510145X_r2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2007.06.003"},{"key":"S002248122510145X_r1","doi-asserted-by":"publisher","DOI":"10.1090\/ulect\/050"},{"key":"S002248122510145X_r27","volume-title":"Classification Theory for Abstract Elementary Classes 2","author":"Shelah","year":"2009"},{"key":"S002248122510145X_r31","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-017-0570-7"},{"key":"S002248122510145X_r14","doi-asserted-by":"publisher","DOI":"10.1017\/jsl.2023.57"},{"key":"S002248122510145X_r30","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-016-0481-z"},{"key":"S002248122510145X_r6","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/302\/05080"},{"key":"S002248122510145X_r15","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-019-00677-8"},{"key":"S002248122510145X_r23","doi-asserted-by":"publisher","DOI":"10.1007\/BF02784150"},{"key":"S002248122510145X_r4","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2016.03.004"},{"key":"S002248122510145X_r8","doi-asserted-by":"publisher","DOI":"10.1215\/ijm\/1256044645"},{"key":"S002248122510145X_r26","volume-title":"Classification Theory for Abstract Elementary Classes","author":"Shelah","year":"2009"},{"key":"S002248122510145X_r12","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700018541"},{"key":"S002248122510145X_r33","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/380\/07118"},{"key":"S002248122510145X_r13","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1120224733"},{"key":"S002248122510145X_r21","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0082243"},{"key":"S002248122510145X_r16","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061324500272"},{"key":"S002248122510145X_r29","doi-asserted-by":"publisher","DOI":"10.1017\/jsl.2015.51"},{"key":"S002248122510145X_r3","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2017.02.002"},{"key":"S002248122510145X_r25","unstructured":"[25] Shelah, S. , Categoricity of an abstract elementary class in two successive cardinals. revisited, 2009, Ch. 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