{"id":"https://openalex.org/W3022019085","doi":"https://doi.org/10.1007/3-540-59408-6_55","title":"The topological structure of maximal lattice free convex bodies: The general case","display_name":"The topological structure of maximal lattice free convex bodies: The general case","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W3022019085","doi":"https://doi.org/10.1007/3-540-59408-6_55","mag":"3022019085"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-59408-6_55","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59408-6_55","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032577525","display_name":"Imre B\u00e1r\u00e1ny","orcid":"https://orcid.org/0000-0001-7455-7467"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"I. B\u00e1r\u00e1ny","raw_affiliation_strings":["Mathematical Institute, POB 127, 1364, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, POB 127, 1364, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089423722","display_name":"Herbert E. Scarf","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. E. Scarf","raw_affiliation_strings":["Cowles Foundation, Yale University, 06520, New Haven, CT"],"affiliations":[{"raw_affiliation_string":"Cowles Foundation, Yale University, 06520, New Haven, CT","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083913050","display_name":"David Shallcross","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. Shallcross","raw_affiliation_strings":["Bellcore, 445 South Street, 07962, Morristown, NJ"],"affiliations":[{"raw_affiliation_string":"Bellcore, 445 South Street, 07962, Morristown, NJ","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032577525"],"corresponding_institution_ids":["https://openalex.org/I127817813"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1117,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79105725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"244","last_page":"251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.6507930755615234},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.617572546005249},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6010873913764954},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5800310373306274},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46757251024246216},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4102017283439636},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3852924704551697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3692551255226135},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29263755679130554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1538071632385254},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1501973271369934}],"concepts":[{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6507930755615234},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.617572546005249},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6010873913764954},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5800310373306274},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46757251024246216},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4102017283439636},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3852924704551697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3692551255226135},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29263755679130554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1538071632385254},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1501973271369934},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-59408-6_55","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59408-6_55","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W107540463","https://openalex.org/W2068570878","https://openalex.org/W4241900133"],"related_works":["https://openalex.org/W3157463780","https://openalex.org/W4206371202","https://openalex.org/W4390091886","https://openalex.org/W4389218045","https://openalex.org/W3008126185","https://openalex.org/W2952147592","https://openalex.org/W2005550082","https://openalex.org/W2593735390","https://openalex.org/W1969151603","https://openalex.org/W2240372687"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
