{"id":"https://openalex.org/W1996455282","doi":"https://doi.org/10.1142/s021812741450148x","title":"Note on Nonejective Topological Fractals on Peano's Continua","display_name":"Note on Nonejective Topological Fractals on Peano's Continua","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W1996455282","doi":"https://doi.org/10.1142/s021812741450148x","mag":"1996455282"},"language":"en","primary_location":{"id":"doi:10.1142/s021812741450148x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741450148x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5064195823","display_name":"J\u00e1n Andres","orcid":"https://orcid.org/0000-0001-5405-3827"},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Andres","raw_affiliation_strings":["Department of Mathematical Analysis, Faculty of Science, Palack\u00fd University, 17. Listopadu 12, 771 46 Olomouc, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Analysis, Faculty of Science, Palack\u00fd University, 17. Listopadu 12, 771 46 Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016708382","display_name":"Lech G\u00f3rniewicz","orcid":null},"institutions":[{"id":"https://openalex.org/I149592570","display_name":"Kazimierz Wielki University in Bydgoszcz","ror":"https://ror.org/018zpxs61","country_code":"PL","type":"education","lineage":["https://openalex.org/I149592570"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Lech G\u00f3rniewicz","raw_affiliation_strings":["Institute of Mathematics, University of Kazimierz Wielki, Weyssenhoffa 11, 85-072 Bydgoszcz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Kazimierz Wielki, Weyssenhoffa 11, 85-072 Bydgoszcz, Poland","institution_ids":["https://openalex.org/I149592570","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2998,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75506268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"11","first_page":"1450148","last_page":"1450148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983999729156494,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983999729156494,"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":0.9898999929428101,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9873999953269958,"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/peano-axioms","display_name":"Peano axioms","score":0.9581855535507202},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7326157689094543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7072029113769531},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6884172558784485},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.45582589507102966},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41986745595932007},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41933608055114746},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33374980092048645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1785564422607422},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16363433003425598}],"concepts":[{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.9581855535507202},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7326157689094543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7072029113769531},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6884172558784485},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.45582589507102966},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41986745595932007},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41933608055114746},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33374980092048645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1785564422607422},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16363433003425598}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812741450148x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741450148x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1501538201","https://openalex.org/W1597583427","https://openalex.org/W1835255277","https://openalex.org/W1977189006","https://openalex.org/W2003824180","https://openalex.org/W2006600811","https://openalex.org/W2044285874","https://openalex.org/W2059340344","https://openalex.org/W2113732187","https://openalex.org/W2339378878","https://openalex.org/W2554146578","https://openalex.org/W4235700849","https://openalex.org/W4237844826","https://openalex.org/W4239883234","https://openalex.org/W4245066456","https://openalex.org/W4245290017"],"related_works":["https://openalex.org/W171744056","https://openalex.org/W1577881803","https://openalex.org/W3136886172","https://openalex.org/W2146906212","https://openalex.org/W4301007153","https://openalex.org/W4390013774","https://openalex.org/W2303556051","https://openalex.org/W2951195380","https://openalex.org/W968826431","https://openalex.org/W2085902896"],"abstract_inverted_index":{"The":[0],"Browder":[1],"nonejective":[2,24],"fixed":[3],"point":[4],"theorem":[5],"[Browder,":[6],"1965]":[7],"will":[8,16,34],"be":[9,17,35],"generalized":[10],"in":[11],"two":[12],"directions.":[13],"One":[14],"generalization":[15],"then":[18],"applied":[19],"to":[20],"the":[21],"existence":[22],"of":[23],"topological":[25],"multivalued":[26],"fractals":[27],"on":[28],"Peano's":[29],"continua.":[30],"An":[31],"illustrative":[32],"example":[33],"supplied.":[36]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
