{"id":"https://openalex.org/W1968604685","doi":"https://doi.org/10.1016/j.topol.2010.08.020","title":"Embedding the bicyclic semigroup into countably compact topological semigroups","display_name":"Embedding the bicyclic semigroup into countably compact topological semigroups","publication_year":2010,"publication_date":"2010-09-16","ids":{"openalex":"https://openalex.org/W1968604685","doi":"https://doi.org/10.1016/j.topol.2010.08.020","mag":"1968604685"},"language":"en","primary_location":{"id":"doi:10.1016/j.topol.2010.08.020","doi":"https://doi.org/10.1016/j.topol.2010.08.020","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.topol.2010.08.020","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0166864110002786/pdf","source":{"id":"https://openalex.org/S20133105","display_name":"Topology and its Applications","issn_l":"0166-8641","issn":["0166-8641","1879-3207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"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":"Topology and its Applications","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W1968604685"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0166864110002786/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088614199","display_name":"\u0422\u0430\u0440\u0430\u0441 \u041e\u043d\u0443\u0444\u0440\u0438\u0435\u0432\u0438\u0447 \u0411\u0430\u043d\u0430\u0445","orcid":"https://orcid.org/0000-0001-6710-4611","observed_orcids":["https://orcid.org/0000-0001-6710-4611"]},"institutions":[{"id":"https://openalex.org/I169495764","display_name":"Jan Kochanowski University","ror":"https://ror.org/00krbh354","country_code":"PL","type":"education","lineage":["https://openalex.org/I169495764"]},{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["PL","UA"],"is_corresponding":true,"raw_author_name":"Taras Banakh","raw_affiliation_strings":["Department of Mathematics, Ivan Franko National University of Lviv, Universytetska 1, Lviv, Ukraine","Instytut Matematyki, Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego w Kielcach, \u015awi\u0229tokrzyska 15, Kielce, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ivan Franko National University of Lviv, Universytetska 1, Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]},{"raw_affiliation_string":"Instytut Matematyki, Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego w Kielcach, \u015awi\u0229tokrzyska 15, Kielce, Poland","institution_ids":["https://openalex.org/I169495764"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065945344","display_name":"Svetlana Dimitrova","orcid":"https://orcid.org/0000-0002-5019-1496","observed_orcids":["https://orcid.org/0000-0002-5019-1496"]},"institutions":[{"id":"https://openalex.org/I67256668","display_name":"National Technical University \"Kharkiv Polytechnic Institute\"","ror":"https://ror.org/00yp5c433","country_code":"UA","type":"education","lineage":["https://openalex.org/I67256668"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Svetlana Dimitrova","raw_affiliation_strings":["National Technical University \u201cKharkiv Polytechnical Institute\u201d, Frunze 21, Kharkiv, 61002, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Technical University \u201cKharkiv Polytechnical Institute\u201d, Frunze 21, Kharkiv, 61002, Ukraine","institution_ids":["https://openalex.org/I67256668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075553866","display_name":"\u041e\u043b\u0435\u0433 \u0413\u0443\u0442\u0456\u043a","orcid":"https://orcid.org/0000-0001-8513-0282","observed_orcids":["https://orcid.org/0000-0001-8513-0282"]},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleg Gutik","raw_affiliation_strings":["Department of Mathematics, Ivan Franko National University of Lviv, Universytetska 1, Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ivan Franko National University of Lviv, Universytetska 1, Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088614199"],"corresponding_institution_ids":["https://openalex.org/I169495764","https://openalex.org/I200280692"],"apc_list":{"value":2920,"currency":"USD","value_usd":2920},"apc_paid":null,"fwci":1.9067,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.82960545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"157","issue":"18","first_page":"2803","last_page":"2814"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9458000063896179,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9458000063896179,"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/T11567","display_name":"semigroups and automata theory","score":0.013500000350177288,"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"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.007699999958276749,"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/bicyclic-semigroup","display_name":"bicyclic semigroup","score":0.9850000143051147},{"id":"https://openalex.org/keywords/topological-semigroups","display_name":"topological semigroups","score":0.9470000267028809},{"id":"https://openalex.org/keywords/semigroup-embeddings","display_name":"embedding of semigroups","score":0.5860000252723694}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8619921207427979},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8207753300666809},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6569194793701172},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.5465922951698303},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46634596586227417},{"id":"https://openalex.org/C24961977","wikidata":"https://www.wikidata.org/wiki/Q225972","display_name":"Bicyclic molecule","level":2,"score":0.4424270987510681},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3997379541397095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3502490222454071},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.253318727016449},{"id":"https://openalex.org/C71240020","wikidata":"https://www.wikidata.org/wiki/Q186011","display_name":"Stereochemistry","level":1,"score":0.06472259759902954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.03881746530532837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0372978150844574},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.topol.2010.08.020","doi":"https://doi.org/10.1016/j.topol.2010.08.020","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.topol.2010.08.020","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0166864110002786/pdf","source":{"id":"https://openalex.org/S20133105","display_name":"Topology and its Applications","issn_l":"0166-8641","issn":["0166-8641","1879-3207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"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":"Topology and its Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0811.4276","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0811.4276","pdf_url":"https://arxiv.org/pdf/0811.4276","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.245.3707","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.245.3707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0811.4276v1.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.0811.4276","doi":"https://doi.org/10.48550/arxiv.0811.4276","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0811.4276","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.topol.2010.08.020","doi":"https://doi.org/10.1016/j.topol.2010.08.020","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.topol.2010.08.020","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0166864110002786/pdf","source":{"id":"https://openalex.org/S20133105","display_name":"Topology and its Applications","issn_l":"0166-8641","issn":["0166-8641","1879-3207"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"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":"Topology and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1968604685.pdf","grobid_xml":"https://content.openalex.org/works/W1968604685.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W153092351","https://openalex.org/W616226259","https://openalex.org/W1436749165","https://openalex.org/W1540942463","https://openalex.org/W1576039172","https://openalex.org/W1585649433","https://openalex.org/W1610193570","https://openalex.org/W1764370864","https://openalex.org/W1889032636","https://openalex.org/W1967486147","https://openalex.org/W1976764042","https://openalex.org/W1989147098","https://openalex.org/W2015195314","https://openalex.org/W2021500578","https://openalex.org/W2027654581","https://openalex.org/W2029138855","https://openalex.org/W2044168996","https://openalex.org/W2047037687","https://openalex.org/W2074624343","https://openalex.org/W2131820100","https://openalex.org/W2151855417","https://openalex.org/W2187074632","https://openalex.org/W2573276458","https://openalex.org/W2623156004","https://openalex.org/W2907205431","https://openalex.org/W2964305812","https://openalex.org/W2970778774","https://openalex.org/W3208222341","https://openalex.org/W4249229203","https://openalex.org/W4285719527","https://openalex.org/W6686735453"],"related_works":["https://openalex.org/W7100874387","https://openalex.org/W4390714725","https://openalex.org/W7155181267","https://openalex.org/W2051592552","https://openalex.org/W2057352175","https://openalex.org/W2029141259","https://openalex.org/W4288023868","https://openalex.org/W7097461172","https://openalex.org/W2987917229","https://openalex.org/W1598429712"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}