Publication Information

{'id': 'https://openalex.org/W287883068', 'doi': None, 'title': 'When does simplicial homology vanish', 'display_name': 'When does simplicial homology vanish', 'publication_year': 2012, 'publication_date': '2012-11-29', 'ids': {'openalex': 'https://openalex.org/W287883068', 'mag': '287883068'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/abs/1211.7087', '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/A5055648086', 'display_name': 'Emma Connon', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Emma Connon', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5055648086'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 3, 'citation_normalized_percentile': {'value': 0.878709, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 75, 'max': 78}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9996, '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/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9996, '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/T12536', 'display_name': 'Topological and Geometric Data Analysis', 'score': 0.9995, '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': 0.9963, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/simplicial-homology', 'display_name': 'Simplicial homology', 'score': 0.92878956}, {'id': 'https://openalex.org/keywords/simplicial-approximation-theorem', 'display_name': 'Simplicial approximation theorem', 'score': 0.73041064}, {'id': 'https://openalex.org/keywords/homology', 'display_name': 'Homology', 'score': 0.6857686}, {'id': 'https://openalex.org/keywords/abstract-simplicial-complex', 'display_name': 'Abstract simplicial complex', 'score': 0.67691964}, {'id': 'https://openalex.org/keywords/h-vector', 'display_name': 'h-vector', 'score': 0.64110625}, {'id': 'https://openalex.org/keywords/simplicial-manifold', 'display_name': 'Simplicial manifold', 'score': 0.5737743}, {'id': 'https://openalex.org/keywords/cw-complex', 'display_name': 'CW complex', 'score': 0.46989962}, {'id': 'https://openalex.org/keywords/persistent-homology', 'display_name': 'Persistent Homology', 'score': 0.44850364}], 'concepts': [{'id': 'https://openalex.org/C3469331', 'wikidata': 'https://www.wikidata.org/wiki/Q7520902', 'display_name': 'Simplicial homology', 'level': 3, 'score': 0.92878956}, {'id': 'https://openalex.org/C187929450', 'wikidata': 'https://www.wikidata.org/wiki/Q994399', 'display_name': 'Simplicial complex', 'level': 2, 'score': 0.9044806}, {'id': 'https://openalex.org/C64245159', 'wikidata': 'https://www.wikidata.org/wiki/Q3983972', 'display_name': 'Simplicial approximation theorem', 'level': 5, 'score': 0.73041064}, {'id': 'https://openalex.org/C165525559', 'wikidata': 'https://www.wikidata.org/wiki/Q224180', 'display_name': 'Homology (biology)', 'level': 3, 'score': 0.6857686}, {'id': 'https://openalex.org/C146867743', 'wikidata': 'https://www.wikidata.org/wiki/Q4669959', 'display_name': 'Abstract simplicial complex', 'level': 3, 'score': 0.67691964}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.65954137}, {'id': 'https://openalex.org/C127634017', 'wikidata': 'https://www.wikidata.org/wiki/Q5627866', 'display_name': 'h-vector', 'level': 3, 'score': 0.64110625}, {'id': 'https://openalex.org/C97172818', 'wikidata': 'https://www.wikidata.org/wiki/Q7520904', 'display_name': 'Simplicial manifold', 'level': 5, 'score': 0.5737743}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.4891651}, {'id': 'https://openalex.org/C202232017', 'wikidata': 'https://www.wikidata.org/wiki/Q189061', 'display_name': 'CW complex', 'level': 4, 'score': 0.46989962}, {'id': 'https://openalex.org/C129621563', 'wikidata': 'https://www.wikidata.org/wiki/Q429593', 'display_name': 'Betti number', 'level': 2, 'score': 0.45441353}, {'id': 'https://openalex.org/C2874115', 'wikidata': 'https://www.wikidata.org/wiki/Q17099562', 'display_name': 'Persistent homology', 'level': 2, 'score': 0.44850364}, {'id': 'https://openalex.org/C155366967', 'wikidata': 'https://www.wikidata.org/wiki/Q1467124', 'display_name': 'Simplicial set', 'level': 4, 'score': 0.4017797}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.40067357}, {'id': 'https://openalex.org/C139962677', 'wikidata': 'https://www.wikidata.org/wiki/Q1095056', 'display_name': 'Singular homology', 'level': 3, 'score': 0.33720654}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.230744}, {'id': 'https://openalex.org/C515207424', 'wikidata': 'https://www.wikidata.org/wiki/Q8066', 'display_name': 'Amino acid', 'level': 2, 'score': 0.11538118}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.09689054}, {'id': 'https://openalex.org/C54355233', 'wikidata': 'https://www.wikidata.org/wiki/Q7162', 'display_name': 'Genetics', 'level': 1, 'score': 0.06717804}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.05544877}, {'id': 'https://openalex.org/C5961521', 'wikidata': 'https://www.wikidata.org/wiki/Q746083', 'display_name': 'Homotopy', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C79236096', 'wikidata': 'https://www.wikidata.org/wiki/Q14775269', 'display_name': 'Homotopy category', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/abs/1211.7087', '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': [{'display_name': 'Reduced inequalities', 'score': 0.47, 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 14, 'referenced_works': ['https://openalex.org/W1488540863', 'https://openalex.org/W1493766186', 'https://openalex.org/W1496383623', 'https://openalex.org/W1515707356', 'https://openalex.org/W1977775383', 'https://openalex.org/W1992772797', 'https://openalex.org/W2019239055', 'https://openalex.org/W2026069272', 'https://openalex.org/W2065019132', 'https://openalex.org/W2069493806', 'https://openalex.org/W2128372375', 'https://openalex.org/W2950760737', 'https://openalex.org/W2952052873', 'https://openalex.org/W3040586665'], 'related_works': ['https://openalex.org/W3171202259', 'https://openalex.org/W3163619504', 'https://openalex.org/W3097570675', 'https://openalex.org/W3088796972', 'https://openalex.org/W3049137688', 'https://openalex.org/W3049100359', 'https://openalex.org/W2971878942', 'https://openalex.org/W2971790374', 'https://openalex.org/W2966445747', 'https://openalex.org/W2953577858', 'https://openalex.org/W2952476048', 'https://openalex.org/W2951284575', 'https://openalex.org/W2950817271', 'https://openalex.org/W2810919795', 'https://openalex.org/W2779325793', 'https://openalex.org/W2144044408', 'https://openalex.org/W1993550789', 'https://openalex.org/W1959979995', 'https://openalex.org/W1670332500', 'https://openalex.org/W1509233598'], 'abstract_inverted_index': {'In': [0, 19], 'this': [1], 'paper': [2], 'we': [3, 21], 'examine': [4], 'the': [5, 8, 23, 39, 48, 55], 'relationship': [6], 'between': [7], 'combinatorial': [9, 24], 'structure': [10], 'of': [11, 26, 36, 41, 50], 'a': [12, 27, 51], 'simplicial': [13, 17, 56], 'complex': [14], 'and': [15, 30], 'its': [16], 'homology.': [18], 'particular': [20], 'introduce': [22], 'notion': [25], 'd-dimensional': [28, 43, 52, 62], 'cycle': [29, 53], 'show': [31, 60], 'that': [32, 61], 'over': [33, 70], 'any': [34, 71], 'field': [35], 'characteristic': [37], '2': [38], 'existence': [40], 'non-zero': [42, 67], 'homology': [44, 69], 'corresponds': [45], 'exactly': [46], 'to': [47, 66], 'presence': [49], 'in': [54], 'complex.': [57], 'We': [58], 'also': [59], 'cycles': [63], 'give': [64], 'rise': [65], 'simplicical': [68], 'field.': [72]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W287883068', 'counts_by_year': [{'year': 2020, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-17T00:40:50.954588', 'created_date': '2016-06-24'}