{"id":"https://openalex.org/W153523005","doi":"https://doi.org/10.1007/978-0-387-21752-9_10","title":"Embedding and Approximation Theorems","display_name":"Embedding and Approximation Theorems","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W153523005","doi":"https://doi.org/10.1007/978-0-387-21752-9_10","mag":"153523005"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-21752-9_10","doi":"https://doi.org/10.1007/978-0-387-21752-9_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-21752-9_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210201401","display_name":"Graduate texts in mathematics","issn_l":"0072-5285","issn":["0072-5285","2197-5612"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graduate Texts in Mathematics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4293203252","display_name":"Introduction to Smooth Manifolds"},"type":"book-chapter","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/A5000331309","display_name":"John Michael Lee","orcid":"https://orcid.org/0000-0001-8473-4674","observed_orcids":["https://orcid.org/0000-0001-8473-4674"]},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John M. Lee","raw_affiliation_strings":["Department of Mathematics, University of Washington, Seattle, USA","University of Washington"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000331309"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0632806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.5479000210762024,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.5479000210762024,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.27250000834465027,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.06970000267028809,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding-theorems","display_name":"embedding theorems","score":0.8960000276565552},{"id":"https://openalex.org/keywords/approximation-theorems","display_name":"approximation theorems","score":0.9959999918937683},{"id":"https://openalex.org/keywords/smooth-manifolds","display_name":"smooth manifolds","score":0.9919999837875366},{"id":"https://openalex.org/keywords/whitney-embedding-theorem","display_name":"Whitney embedding theorem","score":0.7630000114440918},{"id":"https://openalex.org/keywords/smooth-approximation","display_name":"smooth approximation","score":0.4650000035762787}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7382786273956299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4982759952545166},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4959917962551117},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35874152183532715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2876507639884949},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1040802001953125},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0430578887462616},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-21752-9_10","doi":"https://doi.org/10.1007/978-0-387-21752-9_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-21752-9_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210201401","display_name":"Graduate texts in mathematics","issn_l":"0072-5285","issn":["0072-5285","2197-5612"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graduate Texts in Mathematics","raw_type":"book-chapter"}],"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/W961095287","https://openalex.org/W4251811796","https://openalex.org/W2462700209","https://openalex.org/W1014995389","https://openalex.org/W7201837845","https://openalex.org/W4232475569","https://openalex.org/W1532008449","https://openalex.org/W564586838","https://openalex.org/W2009288291","https://openalex.org/W6903731131"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}
