Publication Information

{'id': 'https://openalex.org/W1961766557', 'doi': 'https://doi.org/10.1090/s0894-0347-00-00330-1', 'title': 'A point set whose space of triangulations is disconnected', 'display_name': 'A point set whose space of triangulations is disconnected', 'publication_year': 2000, 'publication_date': '2000-03-29', 'ids': {'openalex': 'https://openalex.org/W1961766557', 'doi': 'https://doi.org/10.1090/s0894-0347-00-00330-1', 'mag': '1961766557'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0894-0347-00-00330-1', 'pdf_url': 'https://www.ams.org/jams/2000-13-03/S0894-0347-00-00330-1/S0894-0347-00-00330-1.pdf', 'source': {'id': 'https://openalex.org/S130224168', 'display_name': 'Journal of the American Mathematical Society', 'issn_l': '0894-0347', 'issn': ['0894-0347', '1088-6834'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.ams.org/jams/2000-13-03/S0894-0347-00-00330-1/S0894-0347-00-00330-1.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5100731803', 'display_name': 'Francisco Santos', 'orcid': 'https://orcid.org/0000-0003-2120-9068'}, 'institutions': [{'id': 'https://openalex.org/I13134134', 'display_name': 'Universidad de Cantabria', 'ror': 'https://ror.org/046ffzj20', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I13134134']}], 'countries': ['ES'], 'is_corresponding': True, 'raw_author_name': 'Francisco Santos', 'raw_affiliation_strings': ['Departamento de Matemáticas, Estadı́stica y Computación, Universidad de Cantabria, E-39005, Santander, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Matemáticas, Estadı́stica y Computación, Universidad de Cantabria, E-39005, Santander, Spain', 'institution_ids': ['https://openalex.org/I13134134']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5100731803'], 'corresponding_institution_ids': ['https://openalex.org/I13134134'], 'apc_list': None, 'apc_paid': None, 'fwci': 10.83, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 74, 'citation_normalized_percentile': {'value': 0.989329, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 94, 'max': 95}, 'biblio': {'volume': '13', 'issue': '3', 'first_page': '611', 'last_page': '637'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9995, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9989, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/geometric-graph-theory', 'display_name': 'Geometric graph theory', 'score': 0.42798638}], 'concepts': [{'id': 'https://openalex.org/C180645754', 'wikidata': 'https://www.wikidata.org/wiki/Q474715', 'display_name': 'Partially ordered set', 'level': 2, 'score': 0.8736688}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.84601676}, {'id': 'https://openalex.org/C135981907', 'wikidata': 'https://www.wikidata.org/wiki/Q188056', 'display_name': 'Triangulation', 'level': 2, 'score': 0.7783698}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.733059}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.5389493}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.46969628}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.44897193}, {'id': 'https://openalex.org/C28719098', 'wikidata': 'https://www.wikidata.org/wiki/Q44946', 'display_name': 'Point (geometry)', 'level': 2, 'score': 0.4452902}, {'id': 'https://openalex.org/C173547177', 'wikidata': 'https://www.wikidata.org/wiki/Q1503271', 'display_name': 'Geometric graph theory', 'level': 5, 'score': 0.42798638}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.40352783}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.14034313}, {'id': 'https://openalex.org/C22149727', 'wikidata': 'https://www.wikidata.org/wiki/Q7940747', 'display_name': 'Voltage graph', 'level': 4, 'score': 0.08292833}, {'id': 'https://openalex.org/C203776342', 'wikidata': 'https://www.wikidata.org/wiki/Q1378376', 'display_name': 'Line graph', 'level': 3, 'score': 0.07881287}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.06954074}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0894-0347-00-00330-1', 'pdf_url': 'https://www.ams.org/jams/2000-13-03/S0894-0347-00-00330-1/S0894-0347-00-00330-1.pdf', 'source': {'id': 'https://openalex.org/S130224168', 'display_name': 'Journal of the American Mathematical Society', 'issn_l': '0894-0347', 'issn': ['0894-0347', '1088-6834'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://hdl.handle.net/10902/2584', 'pdf_url': 'https://repositorio.unican.es/xmlui/bitstream/10902/2584/1/A%20point%20set%20whose%20space%20of%20triangulations%20is%20disconnected.pdf', 'source': {'id': 'https://openalex.org/S4306400398', 'display_name': 'UCrea (University of Cantabria)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I13134134', 'host_organization_name': 'Universidad de Cantabria', 'host_organization_lineage': ['https://openalex.org/I13134134'], 'host_organization_lineage_names': ['Universidad de Cantabria'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0894-0347-00-00330-1', 'pdf_url': 'https://www.ams.org/jams/2000-13-03/S0894-0347-00-00330-1/S0894-0347-00-00330-1.pdf', 'source': {'id': 'https://openalex.org/S130224168', 'display_name': 'Journal of the American Mathematical Society', 'issn_l': '0894-0347', 'issn': ['0894-0347', '1088-6834'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 49, 'referenced_works': ['https://openalex.org/W1486935562', 'https://openalex.org/W1500527815', 'https://openalex.org/W1503277431', 'https://openalex.org/W1511793359', 'https://openalex.org/W1597196612', 'https://openalex.org/W160611193', 'https://openalex.org/W1675352463', 'https://openalex.org/W1964630993', 'https://openalex.org/W1966042529', 'https://openalex.org/W1971425931', 'https://openalex.org/W1975481860', 'https://openalex.org/W1977415556', 'https://openalex.org/W1986181473', 'https://openalex.org/W1991206884', 'https://openalex.org/W1992051521', 'https://openalex.org/W1994970948', 'https://openalex.org/W2003724962', 'https://openalex.org/W2009919199', 'https://openalex.org/W2012741742', 'https://openalex.org/W2019017480', 'https://openalex.org/W2021488116', 'https://openalex.org/W2024314216', 'https://openalex.org/W2049452854', 'https://openalex.org/W2057815787', 'https://openalex.org/W2064838814', 'https://openalex.org/W2070552865', 'https://openalex.org/W2081659888', 'https://openalex.org/W2092059927', 'https://openalex.org/W2105527809', 'https://openalex.org/W2160283861', 'https://openalex.org/W2167584531', 'https://openalex.org/W2172042336', 'https://openalex.org/W2335197782', 'https://openalex.org/W2516839107', 'https://openalex.org/W2911463656', 'https://openalex.org/W2912307075', 'https://openalex.org/W2950721026', 'https://openalex.org/W2951856893', 'https://openalex.org/W2971330320', 'https://openalex.org/W4205858989', 'https://openalex.org/W4214508989', 'https://openalex.org/W4231033470', 'https://openalex.org/W4239726910', 'https://openalex.org/W4243824277', 'https://openalex.org/W4248986099', 'https://openalex.org/W4252369269', 'https://openalex.org/W4313906314', 'https://openalex.org/W768956504', 'https://openalex.org/W92146599'], 'related_works': ['https://openalex.org/W4301819041', 'https://openalex.org/W4298354580', 'https://openalex.org/W4241033831', 'https://openalex.org/W3206162751', 'https://openalex.org/W3099717275', 'https://openalex.org/W2951645240', 'https://openalex.org/W2607245078', 'https://openalex.org/W2078050303', 'https://openalex.org/W2051491955', 'https://openalex.org/W1740006672'], 'abstract_inverted_index': {'By': [0], 'the': [1, 16, 20, 30, 39, 46, 68, 82, 91, 124, 127, 132], '"space': [2], 'of': [3, 5, 15, 22, 24, 32, 51, 55, 67, 73, 87, 93, 108], 'triangulations"': [4], 'a': [6, 65, 106], 'finite': [7], 'point': [8, 100, 121], 'configuration': [9, 101], '$\\mathcal': [10, 25, 33, 56, 74], '{A}$': [11, 34, 57], 'we': [12], 'mean': [13], 'either': [14], 'following': [17], 'two': [18, 137], 'objects:': [19], 'graph': [21, 125], 'triangulations': [23, 31], '{A}$,': [26], 'whose': [27, 36], 'vertices': [28], 'are': [29, 38], 'and': [35, 85, 105, 126], 'edges': [37], 'geometric': [40, 113], 'bistellar': [41, 114], 'operations': [42], 'between': [43], 'them': [44], 'or': [45], 'partially': [47], 'ordered': [48, 58], 'set': [49], '(poset)': [50], 'all': [52], 'polyhedral': [53], 'subdivisions': [54], 'by': [59], 'coherent': [60], 'refinement.': [61], 'The': [62], 'latter': [63], 'is': [64, 77, 86, 118], 'modification': [66], 'more': [69], 'usual': [70], 'Baues': [71], 'poset': [72], '{A}$.': [75], 'It': [76], 'explicitly': [78], 'introduced': [79], 'here': [80], 'for': [81, 131], 'first': [83, 133], 'time': [84, 134], 'special': [88], 'interest': [89], 'in': [90, 102, 122], 'theory': [92], 'toric': [94], 'varieties.': [95], 'We': [96], 'construct': [97], 'an': [98, 119], 'integer': [99], 'dimension': [103], '6': [104], 'triangulation': [107, 117], 'it': [109], 'which': [110, 129], 'admits': [111], 'no': [112], 'operations.': [115], 'This': [116], 'isolated': [120], 'both': [123], 'poset,': [128], 'proves': [130], 'that': [135], 'these': [136], 'objects': [138], 'cannot': [139], 'be': [140], 'connected.': [141]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1961766557', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 3}, {'year': 2017, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 2}, {'year': 2014, 'cited_by_count': 6}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 4}], 'updated_date': '2024-12-13T16:33:14.977284', 'created_date': '2016-06-24'}