Cohomology of Effect Algebras

Name: Work Video:
Duration: 3 min 30 s
Frank Roumen
{'id': 'https://openalex.org/W3101797328', 'doi': 'https://doi.org/10.4204/eptcs.236.12', 'title': 'Cohomology of Effect Algebras', 'display_name': 'Cohomology of Effect Algebras', 'publication_year': 2017, 'publication_date': '2017-01-01', 'ids': {'openalex': 'https://openalex.org/W3101797328', 'doi': 'https://doi.org/10.4204/eptcs.236.12', 'mag': '3101797328'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'https://arxiv.org/pdf/1602.00567', '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': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite', 'doaj'], 'open_access': {'is_oa': True, 'oa_status': 'diamond', 'oa_url': 'https://arxiv.org/pdf/1602.00567', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5076684735', 'display_name': 'Frank Roumen', 'orcid': 'https://orcid.org/0000-0003-0390-5705'}, 'institutions': [{'id': 'https://openalex.org/I241749', 'display_name': 'University of Cambridge', 'ror': 'https://ror.org/013meh722', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I241749']}], 'countries': ['GB'], 'is_corresponding': True, 'raw_author_name': 'Frank Roumen', 'raw_affiliation_strings': ['Computer Laboratory, University of Cambridge 15 JJ Thomson Avenue, Cambridge CB3 0FD, United Kingdom'], 'affiliations': [{'raw_affiliation_string': 'Computer Laboratory, University of Cambridge 15 JJ Thomson Avenue, Cambridge CB3 0FD, United Kingdom', 'institution_ids': ['https://openalex.org/I241749']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5076684735'], 'corresponding_institution_ids': ['https://openalex.org/I241749'], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.927, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 14, 'citation_normalized_percentile': {'value': 0.765781, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 88, 'max': 89}, 'biblio': {'volume': '236', 'issue': None, 'first_page': '174', 'last_page': '201'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11727', 'display_name': 'Advanced Algebra and Logic', 'score': 0.9999, '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/T11727', 'display_name': 'Advanced Algebra and Logic', 'score': 0.9999, '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/T11010', 'display_name': 'Logic, Reasoning, and Knowledge', 'score': 0.9988, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, '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/T10126', 'display_name': 'Logic, programming, and type systems', 'score': 0.9987, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/čech-cohomology', 'display_name': 'Čech cohomology', 'score': 0.4142135}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.76534545}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.75993085}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.62869954}, {'id': 'https://openalex.org/C155751095', 'wikidata': 'https://www.wikidata.org/wiki/Q1408937', 'display_name': 'Group cohomology', 'level': 3, 'score': 0.6059195}, {'id': 'https://openalex.org/C68365058', 'wikidata': 'https://www.wikidata.org/wiki/Q1179446', 'display_name': 'De Rham cohomology', 'level': 4, 'score': 0.55327004}, {'id': 'https://openalex.org/C136170076', 'wikidata': 'https://www.wikidata.org/wiki/Q181296', 'display_name': 'Abelian group', 'level': 2, 'score': 0.53030586}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.52271825}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.48693264}, {'id': 'https://openalex.org/C74196217', 'wikidata': 'https://www.wikidata.org/wiki/Q1095535', 'display_name': 'Čech cohomology', 'level': 5, 'score': 0.4142135}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': True, 'landing_page_url': None, 'pdf_url': 'https://arxiv.org/pdf/1602.00567', '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': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': False, 'landing_page_url': 'https://doaj.org/article/1d5f8f3837404e819f0a28fcdcfdfecb', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306401280', 'display_name': 'DOAJ (DOAJ: Directory of Open Access Journals)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1602.00567', 'pdf_url': 'http://arxiv.org/pdf/1602.00567', '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.1602.00567', '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': None, 'pdf_url': 'https://arxiv.org/pdf/1602.00567', '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': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2259211523', 'https://openalex.org/W3101797328'], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1490505438', 'https://openalex.org/W1528101296', 'https://openalex.org/W1551861123', 'https://openalex.org/W161450104', 'https://openalex.org/W1980152963', 'https://openalex.org/W1982182324', 'https://openalex.org/W1983033166', 'https://openalex.org/W2005620808', 'https://openalex.org/W2013692878', 'https://openalex.org/W2016776900', 'https://openalex.org/W2021768421', 'https://openalex.org/W2033189951', 'https://openalex.org/W2035408167', 'https://openalex.org/W2042074548', 'https://openalex.org/W2046340310', 'https://openalex.org/W2051722259', 'https://openalex.org/W2069610882', 'https://openalex.org/W2072011469', 'https://openalex.org/W2073003382', 'https://openalex.org/W2080412456', 'https://openalex.org/W2114491999', 'https://openalex.org/W2135830616', 'https://openalex.org/W2144449223', 'https://openalex.org/W2152860119', 'https://openalex.org/W2161594563', 'https://openalex.org/W2261553480', 'https://openalex.org/W3103048972', 'https://openalex.org/W3104633850', 'https://openalex.org/W3123543094', 'https://openalex.org/W3126996113', 'https://openalex.org/W3141871949', 'https://openalex.org/W4206264042', 'https://openalex.org/W4211185072', 'https://openalex.org/W4249867610'], 'related_works': ['https://openalex.org/W4235612579', 'https://openalex.org/W3100282197', 'https://openalex.org/W3039594573', 'https://openalex.org/W3032867275', 'https://openalex.org/W2962810052', 'https://openalex.org/W2732979024', 'https://openalex.org/W2624810412', 'https://openalex.org/W1990583353', 'https://openalex.org/W1977713768', 'https://openalex.org/W1659602949'], 'abstract_inverted_index': {'We': [0], 'will': [1], 'define': [2], 'two': [3], 'ways': [4], 'to': [5, 9, 36, 70, 83], 'assign': [6], 'cohomology': [7, 32], 'groups': [8, 33], 'effect': [10, 42, 78], 'algebras,': [11], 'which': [12], 'occur': [13], 'in': [14, 86], 'the': [15, 37, 41, 51], 'algebraic': [16], 'study': [17], 'of': [18, 40, 63, 74], 'quantum': [19, 87], 'logic.': [20], 'The': [21, 30, 56], 'first': [22], 'way': [23, 58], 'is': [24], 'based': [25], 'on': [26, 50, 77], "Connes'": [27], 'cyclic': [28], 'cohomology.': [29], 'resulting': [31], 'are': [34], 'related': [35], 'state': [38, 75], 'space': [39], 'algebra,': [43], 'and': [44, 53, 67], 'can': [45], 'be': [46], 'computed': [47], 'using': [48], 'variations': [49], 'Kunneth': [52], 'Mayer-Vietoris': [54], 'sequences.': [55], 'second': [57], 'involves': [59], 'a': [60, 71], 'chain': [61], 'complex': [62], 'ordered': [64], 'abelian': [65], 'groups,': [66], 'gives': [68], 'rise': [69], 'cohomological': [72], 'characterization': [73], 'extensions': [76], 'algebras.': [79], 'This': [80], 'has': [81], 'applications': [82], 'no-go': [84], 'theorems': [85], 'foundations,': [88], 'such': [89], 'as': [90], "Bell's": [91], 'theorem.': [92]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3101797328', 'counts_by_year': [{'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 5}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 3}], 'updated_date': '2024-12-11T23:12:36.362149', 'created_date': '2020-11-23'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
