{"id":"https://openalex.org/W2049256457","doi":"https://doi.org/10.1007/s11083-012-9256-2","title":"A Hierarchy of Chains Embeddable into the Lexicographic Power $\\boldsymbol{({\\mathbb{R}}^\\omega,\\prec_{\\rm lex})}$","display_name":"A Hierarchy of Chains Embeddable into the Lexicographic Power $\\boldsymbol{({\\mathbb{R}}^\\omega,\\prec_{\\rm lex})}$","publication_year":2012,"publication_date":"2012-03-17","ids":{"openalex":"https://openalex.org/W2049256457","doi":"https://doi.org/10.1007/s11083-012-9256-2","mag":"2049256457"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-012-9256-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-012-9256-2","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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/A5075887933","display_name":"Alfio Giarlotta","orcid":"https://orcid.org/0000-0002-2109-1381"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alfio Giarlotta","raw_affiliation_strings":["Department of Economics and Quantitative Methods, University of Catania, Catania, 95129, Italy","University of Catania"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Quantitative Methods, University of Catania, Catania, 95129, Italy","institution_ids":["https://openalex.org/I39063666"]},{"raw_affiliation_string":"University of Catania","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112787169","display_name":"Stephen Watson","orcid":null},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stephen Watson","raw_affiliation_strings":["Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, Canada","York University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, Canada","institution_ids":["https://openalex.org/I192455969"]},{"raw_affiliation_string":"York University","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075887933"],"corresponding_institution_ids":["https://openalex.org/I39063666"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3479,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62536904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"30","issue":"2","first_page":"463","last_page":"485"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962000250816345,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9961000084877014,"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/lexicographical-order","display_name":"Lexicographical order","score":0.8441341519355774},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7669774293899536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7632263898849487},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.7409717440605164},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6933032274246216},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5605695843696594},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5529174208641052},{"id":"https://openalex.org/keywords/transfinite-number","display_name":"Transfinite number","score":0.5503961443901062},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5095441937446594},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.46016308665275574},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.43236085772514343},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42179369926452637},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.41078490018844604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08851629495620728}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8441341519355774},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7669774293899536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7632263898849487},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7409717440605164},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6933032274246216},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5605695843696594},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5529174208641052},{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.5503961443901062},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5095441937446594},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.46016308665275574},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.43236085772514343},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42179369926452637},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.41078490018844604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08851629495620728},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-012-9256-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-012-9256-2","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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":14,"referenced_works":["https://openalex.org/W139228285","https://openalex.org/W561395332","https://openalex.org/W588060734","https://openalex.org/W749670146","https://openalex.org/W1978413491","https://openalex.org/W1983747053","https://openalex.org/W1999871138","https://openalex.org/W2013900892","https://openalex.org/W2051288877","https://openalex.org/W2077892320","https://openalex.org/W2089224805","https://openalex.org/W2153501815","https://openalex.org/W2161054195","https://openalex.org/W2594606968"],"related_works":["https://openalex.org/W2089968568","https://openalex.org/W2048273249","https://openalex.org/W2950239705","https://openalex.org/W2261099788","https://openalex.org/W2498880115","https://openalex.org/W1663013072","https://openalex.org/W2486717996","https://openalex.org/W1982136501","https://openalex.org/W2374113901","https://openalex.org/W1998997565"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}