{"id":"https://openalex.org/W1998196270","doi":"https://doi.org/10.1017/s0960129504004396","title":"Compact metric spaces as minimal-limit sets in domains of bottomed sequences","display_name":"Compact metric spaces as minimal-limit sets in domains of bottomed sequences","publication_year":2004,"publication_date":"2004-11-16","ids":{"openalex":"https://openalex.org/W1998196270","doi":"https://doi.org/10.1017/s0960129504004396","mag":"1998196270"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129504004396","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004396","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/A5027497864","display_name":"Hideki Tsuiki","orcid":"https://orcid.org/0000-0003-0854-948X"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"HIDEKI TSUIKI","raw_affiliation_strings":["Graduate School of Human and Environmental Studies, Kyoto University Email:","Graduate School of Human and Environmental Studies, Kyoto University Email: tsuiki@i.h.kyoto-u.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Human and Environmental Studies, Kyoto University Email:","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Graduate School of Human and Environmental Studies, Kyoto University Email: tsuiki@i.h.kyoto-u.ac.jp","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027497864"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":1.6959,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80595164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"6","first_page":"853","last_page":"878"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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":0.9994999766349792,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9951000213623047,"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"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9944999814033508,"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/mathematics","display_name":"Mathematics","score":0.65570467710495},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6414302587509155},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6105636954307556},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.5967299342155457},{"id":"https://openalex.org/keywords/retract","display_name":"Retract","score":0.580458402633667},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5645854473114014},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5149417519569397},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5147740840911865},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.46175146102905273},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4245613217353821},{"id":"https://openalex.org/keywords/direct-limit","display_name":"Direct limit","score":0.418738454580307},{"id":"https://openalex.org/keywords/limit-set","display_name":"Limit set","score":0.41616925597190857},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40802082419395447},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40699273347854614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.343478262424469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2853478491306305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0919351577758789}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.65570467710495},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6414302587509155},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6105636954307556},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.5967299342155457},{"id":"https://openalex.org/C2776055716","wikidata":"https://www.wikidata.org/wiki/Q7316893","display_name":"Retract","level":2,"score":0.580458402633667},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5645854473114014},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5149417519569397},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5147740840911865},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.46175146102905273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4245613217353821},{"id":"https://openalex.org/C134565946","wikidata":"https://www.wikidata.org/wiki/Q906015","display_name":"Direct limit","level":2,"score":0.418738454580307},{"id":"https://openalex.org/C51337361","wikidata":"https://www.wikidata.org/wiki/Q1825444","display_name":"Limit set","level":3,"score":0.41616925597190857},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40802082419395447},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40699273347854614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.343478262424469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2853478491306305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0919351577758789},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0960129504004396","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004396","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.8094","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.8094","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.i.h.kyoto-u.ac.jp/~tsuiki/papers/proper-final-o.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W151366907","https://openalex.org/W1509579779","https://openalex.org/W1566092174","https://openalex.org/W1719974439","https://openalex.org/W1756050486","https://openalex.org/W2034418223","https://openalex.org/W2041876924","https://openalex.org/W2055701927","https://openalex.org/W2062024564","https://openalex.org/W2072497723","https://openalex.org/W2073030937","https://openalex.org/W2075490047","https://openalex.org/W2114953769","https://openalex.org/W2148084455","https://openalex.org/W2152101460","https://openalex.org/W2164711115","https://openalex.org/W2166644419"],"related_works":["https://openalex.org/W2242551908","https://openalex.org/W399880605","https://openalex.org/W2320559754","https://openalex.org/W1999392874","https://openalex.org/W2785558381","https://openalex.org/W2093122587","https://openalex.org/W3082845487","https://openalex.org/W2945209112","https://openalex.org/W2512496322","https://openalex.org/W1998196270"],"abstract_inverted_index":{"Every":[0],"compact":[1,134],"metric":[2,135],"space":[3,83,106,136],"$X$":[4,25,68,107,116,137],"is":[5,26,60,84,117],"homeomorphically":[6],"embedded":[7,118],"in":[8,114,127,147,154],"an":[9,131],"$\\omega$":[10],"-algebraic":[11],"domain":[12,42,126],"$D$":[13,38,43],"as":[14,80,108,119],"the":[15,30,56,63,74,87,102,109,120],"set":[16,31,121],"of":[17,29,33,37,58,67,78,89,101,104,112,122,151,161],"minimal":[18,110,123],"limit":[19,35],"(that":[20],"is,":[21],"non-finite)":[22],"elements.":[23,124],"Moreover,":[24],"a":[27,41,81,99,105,144],"retract":[28],"$L(D)$":[32,59,79,90,113],"all":[34],"elements":[36],".":[39,69,163],"Such":[40],"can":[44],"be":[45],"chosen":[46],"so":[47],"that":[48,73,148],"it":[49,149],"has":[50,143],"property":[51,94],"M":[52],"and":[53,55],"finite-branching,":[54],"height":[57,88,111],"equal":[61,85],"to":[62,86],"small":[64,75],"inductive":[65,76],"dimension":[66,77,103],"We":[70],"also":[71],"show":[72],"topological":[82],"for":[91],"domains":[92],"with":[93,156],"M.":[95],"These":[96],"results":[97],"give":[98],"characterisation":[100],"which":[115,128],"The":[125],"we":[129],"embed":[130],"$n$":[132,159],"-dimensional":[133],"(":[138],"$n":[139],"\\leq":[140],"\\infinity$":[141],")":[142],"concrete":[145],"structure":[146],"consists":[150],"finite/infinite":[152],"sequences":[153],"$\\{0,1,\\bot\\}$":[155],"at":[157],"most":[158],"copies":[160],"$\\bot$":[162]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
