{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T15:35:19Z","timestamp":1747150519995,"version":"3.40.5"},"reference-count":15,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2022,1,21]],"date-time":"2022-01-21T00:00:00Z","timestamp":1642723200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2022,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let  be an o\u2010minimal expansion of an ordered group, and  a dense set such that certain tameness conditions hold. We introduce the notion of a <jats:italic>product cone<\/jats:italic> in , and prove: if  expands a real closed field, then  admits a product cone decomposition. If  is linear, then it does not. In particular, we settle a question from [10].<\/jats:p>","DOI":"10.1002\/malq.202100028","type":"journal-article","created":{"date-parts":[[2022,1,22]],"date-time":"2022-01-22T03:49:41Z","timestamp":1642823381000},"page":"279-287","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Product cones in dense pairs"],"prefix":"10.1002","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0687-1096","authenticated-orcid":false,"given":"Pantelis E.","family":"Eleftheriou","sequence":"first","affiliation":[{"name":"School of Mathematics University of Leeds Leeds LS2 9JT United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2022,1,21]]},"reference":[{"key":"e_1_2_6_2_1","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/jdn037"},{"key":"e_1_2_6_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2007.06.002"},{"key":"e_1_2_6_4_1","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1327068694"},{"key":"e_1_2_6_5_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-09-04908-3"},{"key":"e_1_2_6_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2016.04.003"},{"key":"e_1_2_6_7_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm-157-1-61-78"},{"key":"e_1_2_6_8_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0024611506015747"},{"key":"e_1_2_6_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(99)00043-3"},{"key":"e_1_2_6_10_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm216-3-3"},{"key":"e_1_2_6_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-020-2058-0"},{"key":"e_1_2_6_12_1","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1203350776"},{"key":"e_1_2_6_13_1","first-page":"167","article-title":"The real field with the rational points of an elliptic curve","volume":"215","author":"G\u00fcnayd\u0131n A.","year":"2011","journal-title":"Fund. 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