Publication Information

{'id': 'https://openalex.org/W4309585848', 'doi': 'https://doi.org/10.48550/arxiv.2211.10106', 'title': 'One-step closure, weak one-step closure and meet continuity', 'display_name': 'One-step closure, weak one-step closure and meet continuity', 'publication_year': 2022, 'publication_date': '2022-01-01', 'ids': {'openalex': 'https://openalex.org/W4309585848', 'doi': 'https://doi.org/10.48550/arxiv.2211.10106'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2211.10106', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'cc-by-nc-nd', 'license_id': 'https://openalex.org/licenses/cc-by-nc-nd', 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'journal-article', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/2211.10106', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5064203381', 'display_name': 'Hualin Miao', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Miao, Hualin', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5100611700', 'display_name': 'Qingguo Li', 'orcid': 'https://orcid.org/0000-0002-4314-7489'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Li, Qingguo', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5007401694', 'display_name': 'Dongsheng Zhao', 'orcid': 'https://orcid.org/0000-0002-5130-0826'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Zhao, Dongsheng', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 60}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11703', 'display_name': 'Rings, Modules, and Algebras', 'score': 0.9923, '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'}}, 'topics': [{'id': 'https://openalex.org/T11703', 'display_name': 'Rings, Modules, and Algebras', 'score': 0.9923, '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/T10420', 'display_name': 'Intracranial Aneurysms: Treatment and Complications', 'score': 0.9666, 'subfield': {'id': 'https://openalex.org/subfields/2728', 'display_name': 'Neurology'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, {'id': 'https://openalex.org/T11151', 'display_name': 'Advanced Topology and Set Theory', 'score': 0.96, '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/closure', 'display_name': 'Closure (psychology)', 'score': 0.963714}, {'id': 'https://openalex.org/keywords/closure-problem', 'display_name': 'Closure problem', 'score': 0.552277}, {'id': 'https://openalex.org/keywords/closure-operator', 'display_name': 'Closure operator', 'score': 0.4158792}], 'concepts': [{'id': 'https://openalex.org/C146834321', 'wikidata': 'https://www.wikidata.org/wiki/Q2979672', 'display_name': 'Closure (psychology)', 'level': 2, 'score': 0.963714}, {'id': 'https://openalex.org/C180645754', 'wikidata': 'https://www.wikidata.org/wiki/Q474715', 'display_name': 'Partially ordered set', 'level': 2, 'score': 0.73953503}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.66874886}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.5696011}, {'id': 'https://openalex.org/C58626813', 'wikidata': 'https://www.wikidata.org/wiki/Q5135529', 'display_name': 'Closure problem', 'level': 3, 'score': 0.552277}, {'id': 'https://openalex.org/C160771489', 'wikidata': 'https://www.wikidata.org/wiki/Q10564851', 'display_name': 'Closure operator', 'level': 3, 'score': 0.4158792}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.39352864}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.30487454}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.09377217}, {'id': 'https://openalex.org/C164953516', 'wikidata': 'https://www.wikidata.org/wiki/Q320357', 'display_name': 'Closed set', 'level': 2, 'score': 0.09297699}, {'id': 'https://openalex.org/C57879066', 'wikidata': 'https://www.wikidata.org/wiki/Q41217', 'display_name': 'Mechanics', 'level': 1, 'score': 0.07177949}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.055868566}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.05167514}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.04916048}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.044264466}, {'id': 'https://openalex.org/C196558001', 'wikidata': 'https://www.wikidata.org/wiki/Q190132', 'display_name': 'Turbulence', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2211.10106', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'cc-by-nc-nd', 'license_id': 'https://openalex.org/licenses/cc-by-nc-nd', 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/2211.10106', 'pdf_url': 'http://arxiv.org/pdf/2211.10106', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.2211.10106', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2211.10106', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'cc-by-nc-nd', 'license_id': 'https://openalex.org/licenses/cc-by-nc-nd', 'version': None, 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W4328130279'], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W50402501', 'https://openalex.org/W4328130279', 'https://openalex.org/W4309585848', 'https://openalex.org/W3145990545', 'https://openalex.org/W3014174256', 'https://openalex.org/W2970346870', 'https://openalex.org/W2380317631', 'https://openalex.org/W2034094897', 'https://openalex.org/W1985909370', 'https://openalex.org/W1574045147'], 'abstract_inverted_index': {'This': [0], 'paper': [1], 'studies': [2], 'the': [3, 12, 65], 'weak': [4, 24, 36, 68, 94], 'one-step': [5, 8, 25, 37, 46, 69, 73, 82, 95], 'closure': [6, 9, 26, 70, 74, 83], 'and': [7, 27, 72, 76, 85, 92], 'properties': [10], 'concerning': [11], 'structure': [13], 'of': [14], 'Scott': [15], 'closures.': [16], 'We': [17, 39], 'deduce': [18], 'that': [19, 29, 78], 'every': [20], 'quasicontinuous': [21, 31], 'domain': [22], 'has': [23, 81, 93], 'show': [28], 'a': [30, 42, 50, 79], 'poset': [32, 44, 80], 'need': [33], 'not': [34], 'have': [35], 'closure.': [38, 96], 'also': [40], 'constructed': [41], 'non-continuous': [43], 'with': [45], 'closure,': [47], 'which': [48], 'gives': [49], 'negative': [51], 'answer': [52], 'to': [53], 'an': [54], 'open': [55], 'problem': [56], 'posed': [57], 'by': [58], 'Zou': [59], 'et': [60], 'al..': [61], 'Finally,': [62], 'we': [63], 'investigate': [64], 'relationship': [66], 'between': [67], 'property': [71, 75], 'prove': [77], 'if': [84, 87], 'only': [86], 'it': [88], 'is': [89], 'meet': [90], 'continuous': [91]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4309585848', 'counts_by_year': [], 'updated_date': '2024-12-09T21:37:54.550416', 'created_date': '2022-11-28'}