{"id":"https://openalex.org/W2010489486","doi":"https://doi.org/10.1016/s0012-365x(00)00015-7","title":"Bisingular maps on the sphere and the projective plane","display_name":"Bisingular maps on the sphere and the projective plane","publication_year":2000,"publication_date":"2000-08-01","ids":{"openalex":"https://openalex.org/W2010489486","doi":"https://doi.org/10.1016/s0012-365x(00)00015-7","mag":"2010489486"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(00)00015-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00015-7","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103241423","display_name":"Han Ren","orcid":"https://orcid.org/0000-0002-2891-7270"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Han Ren","raw_affiliation_strings":["Department of Mathematics, Suzhou University, Suzhou, 215006, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Suzhou University, Suzhou, 215006, People's Republic of China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101690984","display_name":"Yanpei Liu","orcid":"https://orcid.org/0000-0002-4530-8151"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanpei Liu","raw_affiliation_strings":["Department of Mathematics, Northern Jiaotong University, Beijing 100044, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Northern Jiaotong University, Beijing 100044, People's Republic of China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103241423"],"corresponding_institution_ids":[],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.035,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72404676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"223","issue":"1-3","first_page":"275","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9951000213623047,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9947999715805054,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9914000034332275,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8466446995735168},{"id":"https://openalex.org/keywords/projective-plane","display_name":"Projective plane","score":0.7650032639503479},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.7096205949783325},{"id":"https://openalex.org/keywords/real-projective-plane","display_name":"Real projective plane","score":0.6305502653121948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5790284872055054},{"id":"https://openalex.org/keywords/fano-plane","display_name":"Fano plane","score":0.48052820563316345},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.47001221776008606},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4682997763156891},{"id":"https://openalex.org/keywords/line-at-infinity","display_name":"Line at infinity","score":0.4267979562282562},{"id":"https://openalex.org/keywords/blocking-set","display_name":"Blocking set","score":0.4128193259239197},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40072739124298096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32705867290496826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3203662037849426},{"id":"https://openalex.org/keywords/collineation","display_name":"Collineation","score":0.29062822461128235}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8466446995735168},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.7650032639503479},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.7096205949783325},{"id":"https://openalex.org/C37470923","wikidata":"https://www.wikidata.org/wiki/Q633815","display_name":"Real projective plane","level":5,"score":0.6305502653121948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5790284872055054},{"id":"https://openalex.org/C39757861","wikidata":"https://www.wikidata.org/wiki/Q1395814","display_name":"Fano plane","level":2,"score":0.48052820563316345},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.47001221776008606},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4682997763156891},{"id":"https://openalex.org/C15751092","wikidata":"https://www.wikidata.org/wiki/Q2130665","display_name":"Line at infinity","level":5,"score":0.4267979562282562},{"id":"https://openalex.org/C56952292","wikidata":"https://www.wikidata.org/wiki/Q17005980","display_name":"Blocking set","level":5,"score":0.4128193259239197},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40072739124298096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32705867290496826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3203662037849426},{"id":"https://openalex.org/C163434512","wikidata":"https://www.wikidata.org/wiki/Q390741","display_name":"Collineation","level":4,"score":0.29062822461128235},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(00)00015-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00015-7","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2558849366","https://openalex.org/W3190357833","https://openalex.org/W2952320063","https://openalex.org/W4287029588","https://openalex.org/W2145668739","https://openalex.org/W1496979297","https://openalex.org/W2001751485","https://openalex.org/W1991702258","https://openalex.org/W4313240746","https://openalex.org/W2106768342"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}