{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T03:34:48Z","timestamp":1772508888719,"version":"3.50.1"},"reference-count":7,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T00:00:00Z","timestamp":1190073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1007\/s00454-007-9021-2","type":"journal-article","created":{"date-parts":[[2007,9,17]],"date-time":"2007-09-17T14:43:26Z","timestamp":1190040206000},"page":"67-75","source":"Crossref","is-referenced-by-count":18,"title":["Slicing Convex Sets and Measures by a Hyperplane"],"prefix":"10.1007","volume":"39","author":[{"given":"Imre","family":"B\u00e1r\u00e1ny","sequence":"first","affiliation":[]},{"given":"Alfredo","family":"Hubard","sequence":"additional","affiliation":[]},{"given":"Jes\u00fas","family":"Jer\u00f3nimo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,9,18]]},"reference":[{"key":"9021_CR1","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/PL00009350","volume":"19","author":"I. B\u00e1r\u00e1ny","year":"1997","unstructured":"B\u00e1r\u00e1ny, I., Valtr, P.: A positive fraction Erd\u0151s-Szekeres theorem. Discrete Comput. Geom. 19, 335\u2013342 (1997)","journal-title":"Discrete Comput. Geom."},{"key":"9021_CR2","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01198117","volume":"54","author":"T. Bisztriczky","year":"1990","unstructured":"Bisztriczky, T.: On separated families of convex bodies. Arch. Math. 54, 193\u2013199 (1990)","journal-title":"Arch. Math."},{"key":"9021_CR3","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1006\/aima.1994.1056","volume":"106","author":"S.E. Cappell","year":"1994","unstructured":"Cappell, S.E., Goodman, J.E., Pach, J., Pollack, R., Sharir, M., Wenger, R.: Common tangents and common transversals. Adv. Math. 106, 198\u2013215 (1994)","journal-title":"Adv. Math."},{"key":"9021_CR4","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1006\/jcta.1996.0072","volume":"75","author":"J.E. Goodman","year":"1996","unstructured":"Goodman, J.E., Pollack, R., Wenger, R.: Bounding the number of geometric permutations induced by k-transversals. J. Comb. Theory Ser. A 75, 187\u2013197 (1996)","journal-title":"J. Comb. Theory Ser. A"},{"key":"9021_CR5","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/BF00147364","volume":"60","author":"V. Klee","year":"1996","unstructured":"Klee, V., Lewis, T., Von Hohenbalken, B.: Common supports as fixed points. Geom. Dedicata 60, 277\u2013281 (1996)","journal-title":"Geom. Dedicata"},{"key":"9021_CR6","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/PL00009324","volume":"18","author":"V. Klee","year":"1997","unstructured":"Klee, V., Lewis, T., Von Hohenbalken, B.: Appollonius revisited: supporting spheres for sundered systems. Discrete Comput. Geom. 18, 385\u2013395 (1997)","journal-title":"Discrete Comput. Geom."},{"key":"9021_CR7","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/BF01228180","volume":"24","author":"H. Kramer","year":"1973","unstructured":"Kramer, H., N\u00e9meth, A.B.: Supporting spheres for families of independent convex sets. Arch. Math. 24, 91\u201396 (1973)","journal-title":"Arch. Math."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-007-9021-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-007-9021-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-007-9021-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T23:47:34Z","timestamp":1559087254000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-007-9021-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,9,18]]},"references-count":7,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["9021"],"URL":"https:\/\/doi.org\/10.1007\/s00454-007-9021-2","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,9,18]]}}}