{"id":"https://openalex.org/W164486304","doi":null,"title":"Densit\u00e9 et images polaires en g\u00e9om\u00e9trie sous-analytique","display_name":"Densit\u00e9 et images polaires en g\u00e9om\u00e9trie sous-analytique","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W164486304","mag":"164486304"},"language":"fr","primary_location":{"id":"mag:164486304","doi":null,"is_oa":false,"landing_page_url":"http://www.theses.fr/1998AIX11051","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"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/A5103921771","display_name":"Georges Comte","orcid":"https://orcid.org/0000-0002-9730-4582","observed_orcids":["https://orcid.org/0000-0002-9730-4582"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Georges Comte","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9730-4582","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5103921771"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9336000084877014,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9336000084877014,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.029999999329447746,"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/T12351","display_name":"Geometry and complex manifolds","score":0.012500000186264515,"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/lelong-numbers","display_name":"Lelong numbers","score":0.7120000123977661},{"id":"https://openalex.org/keywords/equisingularity","display_name":"equisingularity","score":0.8299999833106995},{"id":"https://openalex.org/keywords/o-minimal-structures","display_name":"o-minimal structures","score":0.8960000276565552},{"id":"https://openalex.org/keywords/definable-sets","display_name":"definable sets","score":0.8989999890327454}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.6941313743591309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5962469577789307},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33463382720947266},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.3135714530944824}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:164486304","doi":null,"is_oa":false,"landing_page_url":"http://www.theses.fr/1998AIX11051","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2028216885","https://openalex.org/W2045250781","https://openalex.org/W182577108","https://openalex.org/W137180415","https://openalex.org/W1998045431","https://openalex.org/W2045837890","https://openalex.org/W644660221","https://openalex.org/W164353008","https://openalex.org/W1714763368","https://openalex.org/W2728546694"],"abstract_inverted_index":{"On":[0,136,178],"met":[1],"en":[2,46,147,163],"evidence":[3],"le":[4,96,108,123,140],"role":[5],"des":[6,28,52,98,149,206,217,222],"lieux":[7],"polaires":[8,23,30,88],"locaux":[9],"reels":[10,27],"et":[11,37],"de":[12,32,35,38,54,71,81,83,91,100,104,110,118,121,125,127,129,142,151,153,159,161,167,171,175,184,193,209,212,219,224],"leurs":[13,39],"images":[14,22,87,99],"par":[15],"les":[16,19,21,86,191,231,239],"projections":[17],"qui":[18,144],"definissent,":[20],"locales":[24,89],"(respectivement":[25],"equivalents":[26],"varietes":[29],"complexes":[31],"codimension":[33],"1":[34],"le-teissier":[36],"images)":[40],"dans":[41,243],"l'obtention":[42],"d'une":[43,77],"condition":[44],"d'equisingularite":[45],"geometrie":[47],"sous-analytique":[48,60,70,197],":":[49,156,198],"la":[50,102,116,119,201,204],"continuite":[51,117],"nombres":[53,192,218],"lelong":[55,176,194,220],"(ou":[56],"densite)":[57],"d'un":[58,195],"ensemble":[59,196],"sur":[61,139,203],"un":[62,69],"espace":[63],"lisse.":[64],"Precisement,":[65],"lorsque":[66,132],"x":[67,92,105,122,133,216],"est":[68,106,134,145,228],"r":[72,210],"n,":[73],"y":[74],"une":[75,182,244],"strate":[76],"stratification":[78],"normalement":[79,94],"pseudo-plate":[80],"l'adherence":[82],"x,":[84],"si":[85],"generiques":[90],"sont":[93,200,234],"pseudo-plates":[95],"long":[97,109,124],"y,":[101],"densite":[103,120],"continue":[107],"y.":[111],"En":[112],"consequence":[113],"on":[114],"obtient":[115],"strates":[126],"verdier":[128],"son":[130],"adherence,":[131],"semi-analytique.":[135],"compare":[137],"ainsi,":[138],"modele":[141],"ce":[143],"connu":[146],"complexe,":[148],"conditions":[150],"regularite":[152],"natures":[154],"differentes":[155],"differentielles":[157],"(conditions":[158],"whitney,":[160],"verdier),":[162],"termes":[164],"d'ouverture":[165],"relative":[166],"diviseurs":[168],"(pseudo-platitude":[169],"normale":[170],"hironaka),":[172],"numeriques":[173],"(nombres":[174],"continus).":[177],"etablit":[179],"pour":[180,190,238],"cela":[181],"formule":[183],"representation":[185],"integrale":[186],"du":[187],"type":[188],"cauchy-crofton":[189],"ils":[199],"moyenne":[202],"grassmannienne":[205],"plans":[207],"vectoriels":[208],"n":[211],"meme":[213],"dimension":[214],"que":[215],"(ponderes)":[221],"projetes":[223],"x.":[225],"Le":[226],"contexte":[227],"sous-analytique,":[229],"mais":[230],"resultats":[232],"etablis":[233],"plus":[235],"generalement":[236],"valables":[237],"categories":[240],"d'ensembles":[241],"definissables":[242],"structure":[245],"o-minimale.":[246]},"counts_by_year":[],"updated_date":"2025-11-06T04:12:42.849631","created_date":"2016-06-24T00:00:00"}