Publication Information

{'id': 'https://openalex.org/W775222111', 'doi': None, 'title': 'The cohomology of λ-rings and ψ-rings', 'display_name': 'The cohomology of λ-rings and ψ-rings', 'publication_year': 2010, 'publication_date': '2010-12-01', 'ids': {'openalex': 'https://openalex.org/W775222111', 'mag': '775222111'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.528029', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'dissertation', 'type_crossref': 'dissertation', '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/A5032354259', 'display_name': 'Michael Robinson', 'orcid': 'https://orcid.org/0000-0003-0766-3301'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Michael Robinson', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5032354259'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.778598, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 71, 'max': 75}, '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': 0.9998, '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': 0.9998, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9973, '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/T11538', 'display_name': 'Ophthalmology and Eye Disorders', 'score': 0.9835, 'subfield': {'id': 'https://openalex.org/subfields/2734', 'display_name': 'Pathology and Forensic Medicine'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/grothendieck-topology', 'display_name': 'Grothendieck topology', 'score': 0.70133823}, {'id': 'https://openalex.org/keywords/motivic-cohomology', 'display_name': 'Motivic Cohomology', 'score': 0.61600864}, {'id': 'https://openalex.org/keywords/cohomology-ring', 'display_name': 'Cohomology ring', 'score': 0.507338}, {'id': 'https://openalex.org/keywords/čech-cohomology', 'display_name': 'Čech cohomology', 'score': 0.49203345}, {'id': 'https://openalex.org/keywords/spectral-sequence', 'display_name': 'Spectral sequence', 'score': 0.43345657}, {'id': 'https://openalex.org/keywords/cup-product', 'display_name': 'Cup product', 'score': 0.4231349}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.80814075}, {'id': 'https://openalex.org/C57115121', 'wikidata': 'https://www.wikidata.org/wiki/Q1062242', 'display_name': 'Grothendieck topology', 'level': 5, 'score': 0.70133823}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6518277}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.6269623}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.6208688}, {'id': 'https://openalex.org/C155751095', 'wikidata': 'https://www.wikidata.org/wiki/Q1408937', 'display_name': 'Group cohomology', 'level': 3, 'score': 0.61783534}, {'id': 'https://openalex.org/C84254916', 'wikidata': 'https://www.wikidata.org/wiki/Q2981889', 'display_name': 'Motivic cohomology', 'level': 5, 'score': 0.61600864}, {'id': 'https://openalex.org/C2779185822', 'wikidata': 'https://www.wikidata.org/wiki/Q5141399', 'display_name': 'Cohomology ring', 'level': 4, 'score': 0.507338}, {'id': 'https://openalex.org/C68365058', 'wikidata': 'https://www.wikidata.org/wiki/Q1179446', 'display_name': 'De Rham cohomology', 'level': 4, 'score': 0.4941807}, {'id': 'https://openalex.org/C74196217', 'wikidata': 'https://www.wikidata.org/wiki/Q1095535', 'display_name': 'Čech cohomology', 'level': 5, 'score': 0.49203345}, {'id': 'https://openalex.org/C156772000', 'wikidata': 'https://www.wikidata.org/wiki/Q864475', 'display_name': 'Functor', 'level': 2, 'score': 0.43597117}, {'id': 'https://openalex.org/C178609977', 'wikidata': 'https://www.wikidata.org/wiki/Q3503315', 'display_name': 'Spectral sequence', 'level': 3, 'score': 0.43345657}, {'id': 'https://openalex.org/C161491579', 'wikidata': 'https://www.wikidata.org/wiki/Q858656', 'display_name': 'Commutative ring', 'level': 3, 'score': 0.4258764}, {'id': 'https://openalex.org/C2780378348', 'wikidata': 'https://www.wikidata.org/wiki/Q25351438', 'display_name': 'Ring (chemistry)', 'level': 2, 'score': 0.42377704}, {'id': 'https://openalex.org/C126867241', 'wikidata': 'https://www.wikidata.org/wiki/Q3388699', 'display_name': 'Cup product', 'level': 5, 'score': 0.4231349}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3994705}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.25359824}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.528029', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 11, 'referenced_works': ['https://openalex.org/W1486034988', 'https://openalex.org/W1519970706', 'https://openalex.org/W1985070418', 'https://openalex.org/W1986703681', 'https://openalex.org/W2077302537', 'https://openalex.org/W2080181577', 'https://openalex.org/W2120713972', 'https://openalex.org/W2168976044', 'https://openalex.org/W2482013493', 'https://openalex.org/W3141871949', 'https://openalex.org/W593680020'], 'related_works': ['https://openalex.org/W75336972', 'https://openalex.org/W609828763', 'https://openalex.org/W3076703892', 'https://openalex.org/W3019695933', 'https://openalex.org/W3018517307', 'https://openalex.org/W3004681182', 'https://openalex.org/W2964127207', 'https://openalex.org/W2900386963', 'https://openalex.org/W2591908340', 'https://openalex.org/W2161214208', 'https://openalex.org/W2090773313', 'https://openalex.org/W2087027018', 'https://openalex.org/W2064698639', 'https://openalex.org/W2048780145', 'https://openalex.org/W2033114348', 'https://openalex.org/W2032886384', 'https://openalex.org/W2021189169', 'https://openalex.org/W1879139945', 'https://openalex.org/W1751369381', 'https://openalex.org/W1591961352'], 'abstract_inverted_index': {'The': [0, 82, 194], 'cohomology': [1, 15, 75, 83, 107, 115, 181, 188, 223, 243, 263], 'of': [2, 16, 18, 27, 35, 47, 53, 59, 63, 68, 76, 78, 84, 86, 93, 108, 111, 116, 119, 126, 140, 147, 161, 166, 182, 189, 197, 206, 215, 218, 228, 232, 244, 247, 253, 264, 267, 275], 'λ-rings': [3, 29], 'and': [4, 20, 30, 220, 271], 'Ψ-rings': [5, 122], 'by': [6], 'Michael': [7], 'Robinson': [8], 'In': [9], 'this': [10, 23], 'thesis': [11], 'we': [12, 55, 151, 156], 'develop': [13], 'the': [14, 25, 28, 31, 74, 91, 106, 109, 114, 117, 120, 130, 137, 141, 145, 154, 159, 164, 180, 183, 186, 190, 204, 213, 216, 229, 242, 245, 250, 262, 265, 268, 272, 276], 'diagrams': [17, 77, 85, 160], 'algebras': [19, 36, 54, 79, 87, 112, 162], 'then': [21], 'apply': [22, 153], 'to': [24, 44, 113, 136, 144, 163, 185, 224, 249], 'cases': [26], 'Ψ-rings.': [32, 167], 'A': [33], 'diagram': [34, 58, 62, 67, 110], 'is': [37, 98, 101, 175, 203, 256], 'a': [38, 41, 57, 61, 66, 102, 176, 198, 201, 207, 226, 257], 'functor': [39], 'from': [40, 129], 'small': [42], 'category': [43, 46, 52, 92, 131, 146], 'some': [45], 'algebras.': [48], 'For': [49], 'an': [50], 'appropriate': [51], 'get': [56], 'groups,': [60], 'Lie': [64], 'algebras,': [65], 'commutative': [69, 148, 192], 'rings,': [70], 'etc.': [71], 'We': [72, 210, 234], 'define': [73], 'using': [80], 'comonads.': [81], 'classifies': [88], 'extensions': [89], 'in': [90], 'functors.': [94], 'Our': [95, 168], 'main': [96, 169, 195], 'result': [97, 170, 231], 'that': [99, 173, 236], 'there': [100, 174, 237], 'spectral': [103, 177], 'sequence': [104, 178], 'connecting': [105, 179, 241], 'members': [118], 'diagram.': [121], 'can': [123, 152], 'be': [124], 'thought': [125], 'as': [127], 'functors': [128], 'with': [132], 'one': [133], 'object': [134], 'associated': [135], 'multiplicative': [138], 'monoid': [139], 'natural': [142, 239], 'numbers': [143], 'rings.': [149], 'So': [150], 'theory': [155], 'developed': [157], 'for': [158], 'case': [165], 'tells': [171], 'us': [172], 'Ψ-ring': [184, 202], 'Andre-Quillen': [187], 'underlying': [191], 'ring.': [193], 'example': [196, 214], 'λ-ring': [199], 'or': [200], 'K-theory': [205, 217, 246, 266], 'topological': [208], 'space.': [209], 'look': [211], 'at': [212], 'spheres': [219, 248, 270], 'use': [221], 'its': [222], 'give': [225], 'proof': [227], 'classical': [230], 'Adams.': [233], 'show': [235], 'are': [238], 'transformations': [240], 'homotopy': [251, 273], 'groups': [252, 274], 'spheres.': [254, 279], 'There': [255], 'very': [258], 'close': [259], 'connection': [260], 'between': [261], '4n-dimensional': [269], '(4n−': [277], '1)dimensional': [278]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W775222111', 'counts_by_year': [{'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-12T16:23:00.999655', 'created_date': '2016-06-24'}