Publication Information

{'id': 'https://openalex.org/W2084834216', 'doi': 'https://doi.org/10.1090/s0002-9939-1981-0624944-9', 'title': 'The space of retractions of a compact $Q$-manifold is an $l\\sp{2}$-manifold', 'display_name': 'The space of retractions of a compact $Q$-manifold is an $l\\sp{2}$-manifold', 'publication_year': 1981, 'publication_date': '1981-02-01', 'ids': {'openalex': 'https://openalex.org/W2084834216', 'doi': 'https://doi.org/10.1090/s0002-9939-1981-0624944-9', 'mag': '2084834216'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0002-9939-1981-0624944-9', 'pdf_url': 'https://www.ams.org/proc/1981-083-02/S0002-9939-1981-0624944-9/S0002-9939-1981-0624944-9.pdf', 'source': {'id': 'https://openalex.org/S4210226894', 'display_name': 'Proceedings of the American Mathematical Society', 'issn_l': '0002-9939', 'issn': ['0002-9939', '1088-6826'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.ams.org/proc/1981-083-02/S0002-9939-1981-0624944-9/S0002-9939-1981-0624944-9.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5084348228', 'display_name': 'Katsuro Sakai', 'orcid': 'https://orcid.org/0000-0003-0343-6072'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Katsuro Sakai', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5084348228'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.394425, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 63, 'max': 67}, 'biblio': {'volume': '83', 'issue': '2', 'first_page': '421', 'last_page': '421'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.9992, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.9992, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.9991, '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/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.9982, '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/manifold', 'display_name': 'Manifold (fluid mechanics)', 'score': 0.74065804}, {'id': 'https://openalex.org/keywords/closed-manifold', 'display_name': 'Closed manifold', 'score': 0.61701244}], 'concepts': [{'id': 'https://openalex.org/C529865628', 'wikidata': 'https://www.wikidata.org/wiki/Q1790740', 'display_name': 'Manifold (fluid mechanics)', 'level': 2, 'score': 0.74065804}, {'id': 'https://openalex.org/C20483540', 'wikidata': 'https://www.wikidata.org/wiki/Q4200516', 'display_name': 'Invariant manifold', 'level': 2, 'score': 0.64302135}, {'id': 'https://openalex.org/C74349738', 'wikidata': 'https://www.wikidata.org/wiki/Q1517914', 'display_name': 'Closed manifold', 'level': 3, 'score': 0.61701244}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.55125576}, {'id': 'https://openalex.org/C121705324', 'wikidata': 'https://www.wikidata.org/wiki/Q1510587', 'display_name': 'Pseudo-Riemannian manifold', 'level': 4, 'score': 0.47433585}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.46500453}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.41322672}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.37520579}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.37406024}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.26499334}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.22587338}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.1960305}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.055640996}, {'id': 'https://openalex.org/C78519656', 'wikidata': 'https://www.wikidata.org/wiki/Q101333', 'display_name': 'Mechanical engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C12520029', 'wikidata': 'https://www.wikidata.org/wiki/Q1147161', 'display_name': 'Scalar curvature', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C195065555', 'wikidata': 'https://www.wikidata.org/wiki/Q214881', 'display_name': 'Curvature', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0002-9939-1981-0624944-9', 'pdf_url': 'https://www.ams.org/proc/1981-083-02/S0002-9939-1981-0624944-9/S0002-9939-1981-0624944-9.pdf', 'source': {'id': 'https://openalex.org/S4210226894', 'display_name': 'Proceedings of the American Mathematical Society', 'issn_l': '0002-9939', 'issn': ['0002-9939', '1088-6826'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0002-9939-1981-0624944-9', 'pdf_url': 'https://www.ams.org/proc/1981-083-02/S0002-9939-1981-0624944-9/S0002-9939-1981-0624944-9.pdf', 'source': {'id': 'https://openalex.org/S4210226894', 'display_name': 'Proceedings of the American Mathematical Society', 'issn_l': '0002-9939', 'issn': ['0002-9939', '1088-6826'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 5, 'referenced_works': ['https://openalex.org/W1997506588', 'https://openalex.org/W2119708607', 'https://openalex.org/W4235657944', 'https://openalex.org/W4255254231', 'https://openalex.org/W4285719527'], 'related_works': ['https://openalex.org/W4301479768', 'https://openalex.org/W3217574331', 'https://openalex.org/W3111101441', 'https://openalex.org/W2518582013', 'https://openalex.org/W2387045723', 'https://openalex.org/W2139555684', 'https://openalex.org/W2084834216', 'https://openalex.org/W2032227660', 'https://openalex.org/W1893210011', 'https://openalex.org/W1833635743'], 'abstract_inverted_index': {'In': [0], 'this': [1], 'paper,': [2], 'we': [3], 'prove': [4], 'that': [5], 'the': [6], 'space': [7], 'of': [8, 10], 'retractions': [9], 'a': [11, 21], 'compact': [12], 'Hilbert': [13], 'cube': [14], 'manifold': [15], 'is': [16], 'an': [17], '${l^2}$-manifold.': [18], 'This': [19], 'answers': [20], 'question': [22], 'raised': [23], 'by': [24], 'T.': [25], 'A.': [26], 'Chapman.': [27]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2084834216', 'counts_by_year': [], 'updated_date': '2024-12-12T11:27:49.550416', 'created_date': '2016-06-24'}