{"id":"https://openalex.org/W3170953261","doi":"https://doi.org/10.3390/sym13060981","title":"Homeomorphic Arrangements of Smooth Manifolds","display_name":"Homeomorphic Arrangements of Smooth Manifolds","publication_year":2021,"publication_date":"2021-05-31","ids":{"openalex":"https://openalex.org/W3170953261","doi":"https://doi.org/10.3390/sym13060981","mag":"3170953261"},"language":"en","primary_location":{"id":"doi:10.3390/sym13060981","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13060981","pdf_url":"https://www.mdpi.com/2073-8994/13/6/981/pdf?version=1622510775","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/6/981/pdf?version=1622510775","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060501106","display_name":"Eran Liberman","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eran Liberman","raw_affiliation_strings":["Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091766722","display_name":"Mina Teicher","orcid":"https://orcid.org/0000-0003-1700-9709"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Mina Teicher","raw_affiliation_strings":["Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091766722"],"corresponding_institution_ids":["https://openalex.org/I13955877"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6461,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63466184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"6","first_page":"981","last_page":"981"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9994000196456909,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9986000061035156,"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/counterexample","display_name":"Counterexample","score":0.8007799386978149},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.767941951751709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6783737540245056},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6415383815765381},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6384052038192749},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5802609920501709},{"id":"https://openalex.org/keywords/mirror-symmetry","display_name":"Mirror symmetry","score":0.48524904251098633},{"id":"https://openalex.org/keywords/complex-dimension","display_name":"Complex dimension","score":0.4750494956970215},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47429612278938293},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45979899168014526},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.4179951548576355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33980709314346313},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21477922797203064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.193302720785141}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.8007799386978149},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.767941951751709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6783737540245056},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6415383815765381},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6384052038192749},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5802609920501709},{"id":"https://openalex.org/C188374626","wikidata":"https://www.wikidata.org/wiki/Q5914418","display_name":"Mirror symmetry","level":2,"score":0.48524904251098633},{"id":"https://openalex.org/C168185519","wikidata":"https://www.wikidata.org/wiki/Q5156577","display_name":"Complex dimension","level":2,"score":0.4750494956970215},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47429612278938293},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45979899168014526},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.4179951548576355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33980709314346313},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21477922797203064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.193302720785141}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13060981","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13060981","pdf_url":"https://www.mdpi.com/2073-8994/13/6/981/pdf?version=1622510775","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1ecf2440172c4500870de3b89bb8e678","is_oa":true,"landing_page_url":"https://doaj.org/article/1ecf2440172c4500870de3b89bb8e678","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 6, p 981 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/6/981/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13060981","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13060981","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13060981","pdf_url":"https://www.mdpi.com/2073-8994/13/6/981/pdf?version=1622510775","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3170953261.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1557324374","https://openalex.org/W1564378810","https://openalex.org/W1971513725","https://openalex.org/W2008405133","https://openalex.org/W2015167862","https://openalex.org/W2037118998","https://openalex.org/W2166260499","https://openalex.org/W2317324599","https://openalex.org/W2328792719","https://openalex.org/W2603923457","https://openalex.org/W2962708101","https://openalex.org/W3101439086","https://openalex.org/W3150641290","https://openalex.org/W4236482227","https://openalex.org/W6630464978","https://openalex.org/W6735986272"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W2953050408","https://openalex.org/W3123815649","https://openalex.org/W3098949589","https://openalex.org/W2133314243","https://openalex.org/W2964280814","https://openalex.org/W4300978194"],"abstract_inverted_index":{"Symmetry":[0],"between":[1,23],"mathematical":[2],"constructions":[3],"is":[4,43],"a":[5],"very":[6],"desired":[7],"phenomena":[8],"in":[9,11,14,17,44,82,86],"mathematics":[10],"general,":[12],"and":[13,26,36],"algebraic":[15],"geometry":[16],"particular.":[18],"For":[19],"line":[20],"arrangements,":[21],"symmetry":[22,41],"topological":[24],"characterizations":[25],"the":[27,30,37,48,76,83],"combinatorics":[28],"of":[29,51,60,64],"arrangement":[31],"has":[32],"often":[33],"been":[34],"studied,":[35],"first":[38,49],"counterexample":[39],"where":[40],"breaks":[42],"dimension":[45,66,87],"13.":[46],"In":[47,75],"part":[50],"this":[52,81],"paper,":[53],"we":[54,79],"shall":[55],"prove":[56,80],"that":[57,67],"two":[58],"arrangements":[59],"smooth":[61,71],"compact":[62],"manifolds":[63],"any":[65],"are":[68,73],"connected":[69],"through":[70],"functions":[72],"homeomorphic.":[74],"second":[77],"part,":[78],"affine":[84],"case":[85],"4.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}