Publication Information

{'id': 'https://openalex.org/W2541745900', 'doi': None, 'title': 'From weak cofibration categories to model categories', 'display_name': 'From weak cofibration categories to model categories', 'publication_year': 2016, 'publication_date': '2016-10-25', 'ids': {'openalex': 'https://openalex.org/W2541745900', 'mag': '2541745900'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1610.08068', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5081981378', 'display_name': 'Ilan Barnea', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Ilan Barnea', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5048927306', 'display_name': 'Tomer M. Schlank', 'orcid': 'https://orcid.org/0000-0002-5443-6526'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Tomer M. Schlank', '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': 66}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9996, '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'}}, 'topics': [{'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9996, '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.988, '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'}}, {'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9552, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/model-category', 'display_name': 'Model category', 'score': 0.75555104}, {'id': 'https://openalex.org/keywords/2-category', 'display_name': '2-category', 'score': 0.7025352}, {'id': 'https://openalex.org/keywords/higher-category-theory', 'display_name': 'Higher category theory', 'score': 0.6511326}, {'id': 'https://openalex.org/keywords/closed-monoidal-category', 'display_name': 'Closed monoidal category', 'score': 0.61653864}, {'id': 'https://openalex.org/keywords/monoidal-category', 'display_name': 'Monoidal category', 'score': 0.5169836}, {'id': 'https://openalex.org/keywords/category-theory', 'display_name': 'Category theory', 'score': 0.50678474}], 'concepts': [{'id': 'https://openalex.org/C156163052', 'wikidata': 'https://www.wikidata.org/wiki/Q5379515', 'display_name': 'Enriched category', 'level': 3, 'score': 0.865252}, {'id': 'https://openalex.org/C7879355', 'wikidata': 'https://www.wikidata.org/wiki/Q5135329', 'display_name': 'Closed category', 'level': 3, 'score': 0.8007459}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.7697888}, {'id': 'https://openalex.org/C131359564', 'wikidata': 'https://www.wikidata.org/wiki/Q1941896', 'display_name': 'Model category', 'level': 4, 'score': 0.75555104}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7353951}, {'id': 'https://openalex.org/C46263353', 'wikidata': 'https://www.wikidata.org/wiki/Q4596935', 'display_name': '2-category', 'level': 4, 'score': 0.7025352}, {'id': 'https://openalex.org/C128520899', 'wikidata': 'https://www.wikidata.org/wiki/Q1575634', 'display_name': 'Concrete category', 'level': 3, 'score': 0.6601069}, {'id': 'https://openalex.org/C76069219', 'wikidata': 'https://www.wikidata.org/wiki/Q5758318', 'display_name': 'Higher category theory', 'level': 4, 'score': 0.6511326}, {'id': 'https://openalex.org/C56208153', 'wikidata': 'https://www.wikidata.org/wiki/Q5135347', 'display_name': 'Closed monoidal category', 'level': 4, 'score': 0.61653864}, {'id': 'https://openalex.org/C98912367', 'wikidata': 'https://www.wikidata.org/wiki/Q17103860', 'display_name': 'Symmetric monoidal category', 'level': 3, 'score': 0.5756537}, {'id': 'https://openalex.org/C2779904274', 'wikidata': 'https://www.wikidata.org/wiki/Q1945014', 'display_name': 'Monoidal category', 'level': 2, 'score': 0.5169836}, {'id': 'https://openalex.org/C54884031', 'wikidata': 'https://www.wikidata.org/wiki/Q217413', 'display_name': 'Category theory', 'level': 2, 'score': 0.50678474}, {'id': 'https://openalex.org/C2776608160', 'wikidata': 'https://www.wikidata.org/wiki/Q4785462', 'display_name': 'Natural (archaeology)', 'level': 2, 'score': 0.45953158}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.438645}, {'id': 'https://openalex.org/C79236096', 'wikidata': 'https://www.wikidata.org/wiki/Q14775269', 'display_name': 'Homotopy category', 'level': 3, 'score': 0.33646137}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.1346406}, {'id': 'https://openalex.org/C156772000', 'wikidata': 'https://www.wikidata.org/wiki/Q864475', 'display_name': 'Functor', 'level': 2, 'score': 0.08007923}, {'id': 'https://openalex.org/C205649164', 'wikidata': 'https://www.wikidata.org/wiki/Q1071', 'display_name': 'Geography', 'level': 0, 'score': 0.05943528}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.04342106}, {'id': 'https://openalex.org/C166957645', 'wikidata': 'https://www.wikidata.org/wiki/Q23498', 'display_name': 'Archaeology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C5961521', 'wikidata': 'https://www.wikidata.org/wiki/Q746083', 'display_name': 'Homotopy', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1610.08068', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.42, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}, {'score': 0.41, 'id': 'https://metadata.un.org/sdg/16', 'display_name': 'Peace, justice, and strong institutions'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 5, 'referenced_works': ['https://openalex.org/W1595870841', 'https://openalex.org/W1680171265', 'https://openalex.org/W2962774738', 'https://openalex.org/W2963427800', 'https://openalex.org/W2963744328'], 'related_works': ['https://openalex.org/W3022904569', 'https://openalex.org/W2995772018', 'https://openalex.org/W2964343583', 'https://openalex.org/W2964161294', 'https://openalex.org/W2949605499', 'https://openalex.org/W2916265074', 'https://openalex.org/W2837991839', 'https://openalex.org/W2518814599', 'https://openalex.org/W2507045798', 'https://openalex.org/W2488035445', 'https://openalex.org/W2358455412', 'https://openalex.org/W2288880934', 'https://openalex.org/W2274851529', 'https://openalex.org/W2265153197', 'https://openalex.org/W2072184865', 'https://openalex.org/W188752196', 'https://openalex.org/W1826863336', 'https://openalex.org/W1710253391', 'https://openalex.org/W1549447539', 'https://openalex.org/W1533461724'], 'abstract_inverted_index': {'In': [0], '[BaSc2]': [1], 'the': [2, 41, 63, 79, 84, 92, 97, 102, 109, 130, 135, 142, 155], 'authors': [3], 'introduced': [4], 'a': [5, 11, 15, 23, 30, 33, 44, 60, 72, 112, 116, 120, 124], 'much': [6], 'weaker': [7], 'homotopical': [8], 'structure': [153], 'than': [10], 'model': [12, 34, 94, 152], 'category,': [13, 82], 'called': [14], 'weak': [25, 80, 131], 'cofibration': [17, 26, 81, 132], 'category.': [18], 'We': [19], 'further': [20], 'showed': [21], 'that': [22, 70, 126], 'small': [24], 'category': [27, 35, 114, 117, 122], 'induces': [28], 'in': [29, 78, 91], 'natural': [31], 'way': [32, 125], 'on': [37, 96, 154], 'its': [38], 'ind-category,': [39], 'provided': [40], 'ind-category': [42], 'satisfies': [43], 'certain': [45, 73], 'two': [46], 'out': [47], 'of': [48, 53, 104, 111, 137], 'three': [49], 'property.': [50], 'The': [51], 'purpose': [52, 136], 'this': [54], 'paper': [55], 'is': [56, 127], 'to': [57, 62], 'serve': [58], 'as': [59], 'companion': [61], 'papers': [64], 'above,': [65], 'proving': [66], 'results': [67], 'which': [68], 'say': [69], 'if': [71], 'property': [74, 86, 103], 'or': [75, 87], 'exists': [77], 'then': [83], 'same': [85], 'also': [89], 'holds': [90], 'induced': [93], 'ind-category.': [98, 156], 'Namely,': [99], 'we': [100, 140, 147], 'consider': [101, 141], 'being': [105], 'left': [106], 'proper': [107], 'and': [108, 115], 'structures': [110], 'monoidal': [113, 121], 'tensored': [118], 'over': [119], '(in': [123], 'compatible': [128], 'with': [129], 'structure).': [133], 'For': [134], 'future': [138], 'reference,': [139], 'more': [143], 'general': [144], 'situation': [145], 'where': [146], 'only': [148], 'have': [149], 'an': [150], 'almost': [151]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2541745900', 'counts_by_year': [], 'updated_date': '2024-12-07T22:57:54.087607', 'created_date': '2016-11-04'}