{"id":"https://openalex.org/W2010284406","doi":"https://doi.org/10.1134/s0032946009040085","title":"Superpositions of continuous functions defined on a Baire space","display_name":"Superpositions of continuous functions defined on a Baire space","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2010284406","doi":"https://doi.org/10.1134/s0032946009040085","mag":"2010284406"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946009040085","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946009040085","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253","3034-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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/A5026708194","display_name":"\u0421. \u0421. \u041c\u0430\u0440\u0447\u0435\u043d\u043a\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. S. Marchenkov","raw_affiliation_strings":["Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia","Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University,Moscow,Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University,Moscow,Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030902981","display_name":"S. I. Krivospitsky","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. I. Krivospitsky","raw_affiliation_strings":["Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia","Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University,Moscow,Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University,Moscow,Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026708194"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09545506,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"45","issue":"4","first_page":"393","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9951000213623047,"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":0.9951000213623047,"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":0.9951000213623047,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9666000008583069,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9001134634017944},{"id":"https://openalex.org/keywords/modulus-of-continuity","display_name":"Modulus of continuity","score":0.8752943873405457},{"id":"https://openalex.org/keywords/baire-space","display_name":"Baire space","score":0.6888049840927124},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.583030641078949},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.5589644312858582},{"id":"https://openalex.org/keywords/baire-category-theorem","display_name":"Baire category theorem","score":0.5282724499702454},{"id":"https://openalex.org/keywords/baire-measure","display_name":"Baire measure","score":0.513067364692688},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45950788259506226},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44876667857170105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3914288878440857},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.10143938660621643},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.055852264165878296}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9001134634017944},{"id":"https://openalex.org/C3098717","wikidata":"https://www.wikidata.org/wiki/Q1144872","display_name":"Modulus of continuity","level":3,"score":0.8752943873405457},{"id":"https://openalex.org/C166359235","wikidata":"https://www.wikidata.org/wiki/Q1150180","display_name":"Baire space","level":2,"score":0.6888049840927124},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.583030641078949},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.5589644312858582},{"id":"https://openalex.org/C44659138","wikidata":"https://www.wikidata.org/wiki/Q1052678","display_name":"Baire category theorem","level":2,"score":0.5282724499702454},{"id":"https://openalex.org/C189892329","wikidata":"https://www.wikidata.org/wiki/Q2577940","display_name":"Baire measure","level":2,"score":0.513067364692688},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45950788259506226},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44876667857170105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3914288878440857},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.10143938660621643},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.055852264165878296},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0032946009040085","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946009040085","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253","3034-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W586962335","https://openalex.org/W2005581074","https://openalex.org/W2095401689","https://openalex.org/W2115068853","https://openalex.org/W2328098577"],"related_works":["https://openalex.org/W2995769104","https://openalex.org/W2374361304","https://openalex.org/W4249557005","https://openalex.org/W2589397755","https://openalex.org/W2025164011","https://openalex.org/W1528076845","https://openalex.org/W2412485260","https://openalex.org/W2322871419","https://openalex.org/W2027950672","https://openalex.org/W2293919302"],"abstract_inverted_index":{"We":[0,20],"consider":[1],"uniformly":[2],"continuous":[3],"functions":[4,38,51],"on":[5,24],"a":[6,14,18,22],"Baire":[7],"space":[8],"and":[9],"introduce":[10],"the":[11,25,28,66],"notion":[12],"of":[13,17,27,35],"continuity":[15,29,40,53],"modulus":[16,30,41,54],"function.":[19],"formulate":[21],"condition":[23],"growth":[26],"\u03c6":[31,42,55],"guaranteeing":[32],"that":[33],"superpositions":[34],"n":[36,48,58],"-ary":[37],"with":[39,52],"do":[43],"not":[44],"exhaust":[45],"all":[46],"(":[47],"+":[49],"1)-ary":[50],"for":[56],"any":[57],".":[59],"Moreover,":[60],"negating":[61],"this":[62],"property":[63],"leads":[64],"to":[65],"inverse":[67],"effect.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
