Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2022159371', 'doi': 'https://doi.org/10.1016/j.laa.2013.10.033', 'title': 'Lineability, spaceability, and additivity cardinals for Darboux-like functions', 'display_name': 'Lineability, spaceability, and additivity cardinals for Darboux-like functions', 'publication_year': 2013, 'publication_date': '2013-11-21', 'ids': {'openalex': 'https://openalex.org/W2022159371', 'doi': 'https://doi.org/10.1016/j.laa.2013.10.033', 'mag': '2022159371'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.laa.2013.10.033', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S159544283', 'display_name': 'Linear Algebra and its Applications', 'issn_l': '0024-3795', 'issn': ['0024-3795', '1873-1856'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', '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://doi.org/10.1016/j.laa.2013.10.033', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5010025930', 'display_name': 'Krzysztof Chris Ciesielski', 'orcid': 'https://orcid.org/0000-0003-4282-5855'}, 'institutions': [{'id': 'https://openalex.org/I12097938', 'display_name': 'West Virginia University', 'ror': 'https://ror.org/011vxgd24', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I12097938']}, {'id': 'https://openalex.org/I79576946', 'display_name': 'University of Pennsylvania', 'ror': 'https://ror.org/00b30xv10', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I79576946']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Krzysztof Chris Ciesielski', 'raw_affiliation_strings': ['Department of Mathematics, West Virginia University, Morgantown, WV 26506-6310, USA', 'Department of Radiology, MIPG, University of Pennsylvania, Blockley Hall – 4th Floor, 423 Guardian Drive, Philadelphia, PA 19104-6021, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, West Virginia University, Morgantown, WV 26506-6310, USA', 'institution_ids': ['https://openalex.org/I12097938']}, {'raw_affiliation_string': 'Department of Radiology, MIPG, University of Pennsylvania, Blockley Hall – 4th Floor, 423 Guardian Drive, Philadelphia, PA 19104-6021, USA', 'institution_ids': ['https://openalex.org/I79576946']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5013375661', 'display_name': 'José L. Gámez-Merino', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I121748325', 'display_name': 'Universidad Complutense de Madrid', 'ror': 'https://ror.org/02p0gd045', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I121748325']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'José L. Gámez-Merino', 'raw_affiliation_strings': ['Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Plaza de Ciencias 3 Universidad Complutense de Madrid Madrid, 28040, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Plaza de Ciencias 3 Universidad Complutense de Madrid Madrid, 28040, Spain', 'institution_ids': ['https://openalex.org/I121748325']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5060357027', 'display_name': 'Daniel Pellegrino', 'orcid': 'https://orcid.org/0000-0002-5369-5630'}, 'institutions': [{'id': 'https://openalex.org/I169045520', 'display_name': 'Universidade Federal da Paraíba', 'ror': 'https://ror.org/00p9vpz11', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I169045520']}], 'countries': ['BR'], 'is_corresponding': False, 'raw_author_name': 'Daniel Pellegrino', 'raw_affiliation_strings': ['Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa, Brazil'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa, Brazil', 'institution_ids': ['https://openalex.org/I169045520']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5004492134', 'display_name': 'Juan B. Seoane‐Sepúlveda', 'orcid': 'https://orcid.org/0000-0003-0799-707X'}, 'institutions': [{'id': 'https://openalex.org/I121748325', 'display_name': 'Universidad Complutense de Madrid', 'ror': 'https://ror.org/02p0gd045', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I121748325']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'Juan B. Seoane-Sepúlveda', 'raw_affiliation_strings': ['Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Plaza de Ciencias 3 Universidad Complutense de Madrid Madrid, 28040, Spain'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Análisis Matemático Facultad de Ciencias Matemáticas Plaza de Ciencias 3 Universidad Complutense de Madrid Madrid, 28040, Spain', 'institution_ids': ['https://openalex.org/I121748325']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2760, 'currency': 'USD', 'value_usd': 2760, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 3.498, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 26, 'citation_normalized_percentile': {'value': 0.999766, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 91, 'max': 92}, 'biblio': {'volume': '440', 'issue': None, 'first_page': '307', 'last_page': '317'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11545', 'display_name': 'Advanced Banach Space Theory', '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/T11545', 'display_name': 'Advanced Banach Space Theory', '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/T11151', 'display_name': 'Advanced Topology and Set Theory', 'score': 0.9995, '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/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 0.9971, '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/additive-function', 'display_name': 'Additive function', 'score': 0.9186813}, {'id': 'https://openalex.org/keywords/homogeneous-function', 'display_name': 'Homogeneous function', 'score': 0.48680708}, {'id': 'https://openalex.org/keywords/vector-valued-function', 'display_name': 'Vector-valued function', 'score': 0.42656487}], 'concepts': [{'id': 'https://openalex.org/C38803922', 'wikidata': 'https://www.wikidata.org/wiki/Q95745348', 'display_name': 'Additive function', 'level': 2, 'score': 0.9186813}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8981582}, {'id': 'https://openalex.org/C66882249', 'wikidata': 'https://www.wikidata.org/wiki/Q169336', 'display_name': 'Homogeneous', 'level': 2, 'score': 0.62364686}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.53380024}, {'id': 'https://openalex.org/C13336665', 'wikidata': 'https://www.wikidata.org/wiki/Q125977', 'display_name': 'Vector space', 'level': 2, 'score': 0.49804544}, {'id': 'https://openalex.org/C94906876', 'wikidata': 'https://www.wikidata.org/wiki/Q1132952', 'display_name': 'Homogeneous function', 'level': 3, 'score': 0.48680708}, {'id': 'https://openalex.org/C25343380', 'wikidata': 'https://www.wikidata.org/wiki/Q277521', 'display_name': 'Relation (database)', 'level': 2, 'score': 0.4764531}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.4704888}, {'id': 'https://openalex.org/C2456702', 'wikidata': 'https://www.wikidata.org/wiki/Q1375954', 'display_name': 'Vector-valued function', 'level': 2, 'score': 0.42656487}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3896774}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.35378093}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.17879689}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C77088390', 'wikidata': 'https://www.wikidata.org/wiki/Q8513', 'display_name': 'Database', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.laa.2013.10.033', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S159544283', 'display_name': 'Linear Algebra and its Applications', 'issn_l': '0024-3795', 'issn': ['0024-3795', '1873-1856'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1309.1965', 'pdf_url': 'https://arxiv.org/pdf/1309.1965', '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': True, 'landing_page_url': 'http://arxiv.org/abs/1309.1965', 'pdf_url': 'http://arxiv.org/pdf/1309.1965', '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': True, 'landing_page_url': None, 'pdf_url': 'http://arxiv.org/pdf/1309.1965.pdf', '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': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.laa.2013.10.033', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S159544283', 'display_name': 'Linear Algebra and its Applications', 'issn_l': '0024-3795', 'issn': ['0024-3795', '1873-1856'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 27, 'referenced_works': ['https://openalex.org/W1486022400', 'https://openalex.org/W1538296577', 'https://openalex.org/W1546272304', 'https://openalex.org/W1578974586', 'https://openalex.org/W1993642410', 'https://openalex.org/W1994649211', 'https://openalex.org/W1996795357', 'https://openalex.org/W2004870595', 'https://openalex.org/W2010393471', 'https://openalex.org/W2023071135', 'https://openalex.org/W2040315189', 'https://openalex.org/W2053560500', 'https://openalex.org/W2059673448', 'https://openalex.org/W2067965850', 'https://openalex.org/W2085006553', 'https://openalex.org/W2086151974', 'https://openalex.org/W2095469803', 'https://openalex.org/W2099373971', 'https://openalex.org/W2107162090', 'https://openalex.org/W2112128012', 'https://openalex.org/W2126338783', 'https://openalex.org/W2963285249', 'https://openalex.org/W2963525051', 'https://openalex.org/W3008897345', 'https://openalex.org/W3151838409', 'https://openalex.org/W4230259814', 'https://openalex.org/W4245513050'], 'related_works': ['https://openalex.org/W4299789132', 'https://openalex.org/W4229010949', 'https://openalex.org/W3154129246', 'https://openalex.org/W2950549208', 'https://openalex.org/W2944669042', 'https://openalex.org/W2837129420', 'https://openalex.org/W2088544526', 'https://openalex.org/W2022159371', 'https://openalex.org/W1978042415', 'https://openalex.org/W1535963902'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2022159371', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 4}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 3}, {'year': 2015, 'cited_by_count': 4}, {'year': 2014, 'cited_by_count': 3}, {'year': 2013, 'cited_by_count': 2}], 'updated_date': '2025-01-08T17:24:53.877736', 'created_date': '2016-06-24'}