{"id":"https://openalex.org/W2016710035","doi":"https://doi.org/10.1142/s021865439400013x","title":"CELLULAR COMPLEXES AS STRUCTURED SEMI-SIMPLICIAL SETS","display_name":"CELLULAR COMPLEXES AS STRUCTURED SEMI-SIMPLICIAL SETS","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W2016710035","doi":"https://doi.org/10.1142/s021865439400013x","mag":"2016710035"},"language":"en","primary_location":{"id":"doi:10.1142/s021865439400013x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021865439400013x","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"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 Shape Modeling","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/A5072170854","display_name":"Herv\u00e9 Elter","orcid":null},"institutions":[{"id":"https://openalex.org/I2801677018","display_name":"Chamber of Deputies","ror":"https://ror.org/02ds88v51","country_code":"IT","type":"government","lineage":["https://openalex.org/I2801677018"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"HERVE ELTER","raw_affiliation_strings":["I.M.A. \u2014 C.N.R., Via De Marini, 6, 16149 Genova, ItalyResearch fellow \u2014 Lavoisier Grant of the French Minist\u00e8re des Affaires Etrang\u00e8res","I.M.A. \u2014 C.N.R., Via De Marini, 6, 16149 Genova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I.M.A. \u2014 C.N.R., Via De Marini, 6, 16149 Genova, ItalyResearch fellow \u2014 Lavoisier Grant of the French Minist\u00e8re des Affaires Etrang\u00e8res","institution_ids":["https://openalex.org/I2801677018"]},{"raw_affiliation_string":"I.M.A. \u2014 C.N.R., Via De Marini, 6, 16149 Genova, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060650108","display_name":"Pascal Lienhardt","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"PASCAL LIENHARDT","raw_affiliation_strings":["D\u00e9partement d'Informatique, S.I.C. (I.R.C.O.M. \u2014 U.R.A. C.N.R.S. 356), 40, avenue du Recteur, Pineau 86022 Poitiers Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'Informatique, S.I.C. (I.R.C.O.M. \u2014 U.R.A. C.N.R.S. 356), 40, avenue du Recteur, Pineau 86022 Poitiers Cedex, France","institution_ids":["https://openalex.org/I4210161954"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4916,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.62770079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"01","issue":"02","first_page":"191","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/computational-topology","display_name":"Computational topology","score":0.6756533980369568},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.6384261250495911},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6357402801513672},{"id":"https://openalex.org/keywords/combinatorial-explosion","display_name":"Combinatorial explosion","score":0.613629162311554},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.5959018468856812},{"id":"https://openalex.org/keywords/discrete-geometry","display_name":"Discrete geometry","score":0.565247654914856},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.5638362765312195},{"id":"https://openalex.org/keywords/barycentric-coordinate-system","display_name":"Barycentric coordinate system","score":0.540422260761261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5379190444946289},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5130971670150757},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.4677298963069916},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.46460670232772827},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.46139761805534363},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.42893826961517334},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4245555102825165},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4222016930580139},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4133654534816742},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3681783080101013},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.17522692680358887},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1677311360836029},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16038841009140015},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.14529171586036682},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10989096760749817}],"concepts":[{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.6756533980369568},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6384261250495911},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6357402801513672},{"id":"https://openalex.org/C115908005","wikidata":"https://www.wikidata.org/wiki/Q2668364","display_name":"Combinatorial explosion","level":2,"score":0.613629162311554},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.5959018468856812},{"id":"https://openalex.org/C4107886","wikidata":"https://www.wikidata.org/wiki/Q906377","display_name":"Discrete geometry","level":2,"score":0.565247654914856},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.5638362765312195},{"id":"https://openalex.org/C128356825","wikidata":"https://www.wikidata.org/wiki/Q738422","display_name":"Barycentric coordinate system","level":2,"score":0.540422260761261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5379190444946289},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5130971670150757},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.4677298963069916},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.46460670232772827},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.46139761805534363},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.42893826961517334},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4245555102825165},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4222016930580139},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4133654534816742},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3681783080101013},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.17522692680358887},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1677311360836029},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16038841009140015},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.14529171586036682},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10989096760749817},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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:10.1142/s021865439400013x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021865439400013x","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"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 Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3187568770","https://openalex.org/W4386275707","https://openalex.org/W4321471594","https://openalex.org/W4225929853","https://openalex.org/W3214553362","https://openalex.org/W2962773900","https://openalex.org/W4289294436","https://openalex.org/W2900409958","https://openalex.org/W602378261","https://openalex.org/W2016710035"],"abstract_inverted_index":{"In":[0],"geometric":[1,129],"modeling,":[2],"numerous":[3],"combinatorial":[4,32,36,50,72,92,96,114,126],"structures":[5,17,33,70,97,127],"have":[6],"been":[7],"proposed":[8],"for":[9,46,52,100],"modeling":[10],"the":[11,23,47,53,56,85,167,173,180,184,200],"topology":[12,24,37,57],"of":[13,22,25,28,49,55,58,87,91,103,151,176,179,188],"subdivisions.":[14],"Often,":[15],"these":[16,125,146],"are":[18,38,67,98,119,131,192,210],"deduced":[19,99,132],"from":[20,63,133,203],"analyses":[21],"cellular":[26,60,93,104,152,190],"subdivisions":[27],"E3":[29],"when":[30],"main":[31,181],"defined":[34],"in":[35,71],"simplicial.":[39],"Here,":[40],"we":[41,74,154],"present":[42],"a":[43,76,88,112,196],"general":[44],"framework":[45],"definition":[48,86],"structures,":[51,158],"representation":[54],"triangulable":[59],"objects.":[61],"Starting":[62],"semi-simplicial":[64,136],"sets,":[65],"which":[66],"well":[68],"known":[69],"topology,":[73],"define":[75],"simple":[77],"mechanism,":[78],"inspired":[79,202],"by":[80],"barycentric":[81,204],"triangulation,":[82],"leading":[83],"to":[84,199],"wide":[89],"class":[90],"complexes.":[94],"Other":[95],"particular":[101,149],"subclasses":[102,150],"complexes,":[105,153],"using":[106],"other":[107,208],"mechanisms.":[108],"Our":[109],"approach":[110],"is":[111,162,183],"purely":[113],"one.":[115],"Advantages":[116],"and":[117,128],"drawbacks":[118,182],"discussed.":[120,212],"For":[121,148],"instance,":[122],"relations":[123],"between":[124],"objects":[130],"that":[134,186],"with":[135,207],"sets.":[137],"Many":[138],"important":[139],"topological":[140],"properties":[141],"can":[142,155],"be":[143],"computed":[144],"on":[145],"structures.":[147],"deduce":[156],"equivalent":[157],"where":[159],"less":[160],"information":[161],"explicitly":[163],"represented,":[164],"decreasing":[165],"thus":[166],"data":[168],"storage":[169],"complexity,":[170],"and,":[171],"sometimes,":[172],"time":[174],"complexity":[175],"algorithms.":[177],"One":[178],"fact":[185],"cells":[187],"so-defined":[189],"complexes":[191],"always":[193],"contractible":[194],"into":[195],"vertex,":[197],"due":[198],"mechanism":[201],"triangulation.":[205],"Relations":[206],"works":[209],"also":[211]},"counts_by_year":[{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}