{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,18]],"date-time":"2025-03-18T04:12:08Z","timestamp":1742271128272,"version":"3.40.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2024,2,3]],"date-time":"2024-02-03T00:00:00Z","timestamp":1706918400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,2,3]],"date-time":"2024-02-03T00:00:00Z","timestamp":1706918400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["NSF DMS\u20132001502","NSF DMS\u20132053261"],"award-info":[{"award-number":["NSF DMS\u20132001502","NSF DMS\u20132053261"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1007\/s00454-024-00629-x","type":"journal-article","created":{"date-parts":[[2024,2,3]],"date-time":"2024-02-03T22:02:09Z","timestamp":1706997729000},"page":"815-836","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Locally Finite Completions of Polyhedral Complexes"],"prefix":"10.1007","volume":"73","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-5839-3627","authenticated-orcid":false,"given":"Desmond","family":"Coles","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6760-6996","authenticated-orcid":false,"given":"Netanel","family":"Friedenberg","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,2,3]]},"reference":[{"key":"629_CR1","doi-asserted-by":"crossref","unstructured":"An, Y., Baker, M., Kuperberg, G., Shokrieh, F.: Canonical representatives for divisor classes on tropical curves and the matrix-tree theorem. Forum Math. Sigma, 2, Paper No. e24, 25 (2014)","DOI":"10.1017\/fms.2014.25"},{"key":"629_CR2","doi-asserted-by":"crossref","unstructured":"Burgos Gil, J.I., Sombra, M.: When do the recession cones of a polyhedral complex form a fan? Discrete Comput. Geom. 46, 789\u2013798 (2011)","DOI":"10.1007\/s00454-010-9318-4"},{"key":"629_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61701-0","volume-title":"General Topology: Chapters 1\u20134","author":"N Bourbaki","year":"1995","unstructured":"Bourbaki, N.: General Topology: Chapters 1\u20134. Springer, Berlin (1995)"},{"key":"629_CR4","doi-asserted-by":"crossref","unstructured":"Cox, D., Little, J., Schenck, H.: Toric Varieties. Graduate Studies in Mathematics, vol. 124. American Mathematical Society, Providence, RI (2011)","DOI":"10.1090\/gsm\/124"},{"issue":"2","key":"629_CR5","doi-asserted-by":"publisher","first-page":"189","DOI":"10.2748\/tmj\/1156256400","volume":"58","author":"G Ewald","year":"2006","unstructured":"Ewald, G., Ishida, M.-N.: Completion of real fans and Zariski-Riemann spaces. Tohoku Math. J. 58(2), 189\u2013218 (2006)","journal-title":"Tohoku Math. J."},{"issue":"5","key":"629_CR6","doi-asserted-by":"publisher","first-page":"1921","DOI":"10.1090\/proc\/13869","volume":"146","author":"L Escobar","year":"2018","unstructured":"Escobar, L., Pechenik, O., Tenner, B.E., Yong, A.: Rhombic tilings and Bott-Samelson varieties. Proc. Am. Math. Soc. 146(5), 1921\u20131935 (2018)","journal-title":"Proc. Am. Math. Soc."},{"key":"629_CR7","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1007\/BF01197060","volume":"59","author":"G Ewald","year":"1992","unstructured":"Ewald, G., Schulz, C.: Non-starshaped spheres. Arch. Math. 59, 412\u2013416 (1992)","journal-title":"Arch. Math."},{"key":"629_CR8","doi-asserted-by":"crossref","unstructured":"Ewald, G.: Combinatorial Convexity and Algebraic Geometry. Graduate Texts in Mathematics, vol. 168. Springer, New York (1996)","DOI":"10.1007\/978-1-4612-4044-0"},{"key":"629_CR9","unstructured":"Friedenberg, N.: Normal completions of toric varieties over rank one valuation rings and completions of $$\\Gamma $$-admissible fans. Preprint. arXiv:1908:00064"},{"key":"629_CR10","doi-asserted-by":"publisher","first-page":"171","DOI":"10.4171\/dm\/488","volume":"20","author":"W Gubler","year":"2015","unstructured":"Gubler, W., Soto, A.: Classification of normal toric varieties over a valuation ring of rank one. Doc. Math. 20, 171\u2013198 (2015)","journal-title":"Doc. Math."},{"key":"629_CR11","doi-asserted-by":"crossref","unstructured":"Gubler, W.: A guide to tropicalizations. In: Algebraic and Combinatorial Aspects of Tropical Geometry, volume 589 of Contemporary Mathematics, pp. 125\u2013189. American Mathematical Society, Providence, RI (2013)","DOI":"10.1090\/conm\/589\/11745"},{"key":"629_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/S0002-9947-1979-0536936-4","volume":"253","author":"T Oda","year":"1979","unstructured":"Oda, T., Seshadri, C.S.: Compactifications of the generalized Jacobian variety. Trans. Am. Math. Soc. 253, 1\u201390 (1979)","journal-title":"Trans. Am. Math. Soc."},{"issue":"3","key":"629_CR13","doi-asserted-by":"publisher","first-page":"543","DOI":"10.4310\/MRL.2009.v16.n3.a13","volume":"16","author":"S Payne","year":"2009","unstructured":"Payne, S.: Analytification is the limit of all tropicalizations. Math. Res. Lett. 16(3), 543\u2013556 (2009)","journal-title":"Math. Res. Lett."},{"key":"629_CR14","doi-asserted-by":"publisher","first-page":"3192","DOI":"10.1016\/j.aim.2012.02.003","volume":"229","author":"J Rabinoff","year":"2012","unstructured":"Rabinoff, J.: Tropical analytic geometry, newton polygons, and tropical intersections. Adv. Math. 229, 3192\u20133255 (2012)","journal-title":"Adv. Math."},{"key":"629_CR15","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/s00022-011-0073-3","volume":"100","author":"F Rohrer","year":"2011","unstructured":"Rohrer, F.: Completions of fans. J. Geom. 100, 147\u2013169 (2011)","journal-title":"J. Geom."},{"issue":"1","key":"629_CR16","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1017\/S0305004100012949","volume":"31","author":"JHC Whitehead","year":"1935","unstructured":"Whitehead, J.H.C.: On subdivisions of complexes. Math. Proc. Camb. Phil. Soc. 31(1), 69\u201375 (1935)","journal-title":"Math. Proc. Camb. Phil. Soc."},{"key":"629_CR17","doi-asserted-by":"crossref","unstructured":"Ziegler, G.: Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer, New York (1995)","DOI":"10.1007\/978-1-4613-8431-1"}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-024-00629-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-024-00629-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-024-00629-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T14:57:55Z","timestamp":1742223475000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-024-00629-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,3]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,4]]}},"alternative-id":["629"],"URL":"https:\/\/doi.org\/10.1007\/s00454-024-00629-x","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2024,2,3]]},"assertion":[{"value":"27 March 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 January 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 January 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 February 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}