{"id":"https://openalex.org/W1522669644","doi":"https://doi.org/10.1007/978-3-642-39053-1_37","title":"The Classification Problem for Compact Computable Metric Spaces","display_name":"The Classification Problem for Compact Computable Metric Spaces","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1522669644","doi":"https://doi.org/10.1007/978-3-642-39053-1_37","mag":"1522669644"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-39053-1_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39053-1_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.newton.ac.uk/files/preprints/ni13004_0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046893858","display_name":"Alexander Melnikov","orcid":"https://orcid.org/0000-0001-8781-7432"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Alexander G. Melnikov","raw_affiliation_strings":["School of Mathematics, Statistics and Operations Research, Victoria University of Wellington, Wellington, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Operations Research, Victoria University of Wellington, Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047690936","display_name":"Andr\u00e9 Nies","orcid":"https://orcid.org/0000-0002-0666-5180"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Nies","raw_affiliation_strings":["Department of Computer Science, University of Auckland, Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2255,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.78751975,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"320","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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":0.9958000183105469,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/metric-space","display_name":"Metric space","score":0.7200900316238403},{"id":"https://openalex.org/keywords/computable-number","display_name":"Computable number","score":0.6590615510940552},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6084722876548767},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.5974652171134949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.581379234790802},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.5202868580818176},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.5133134722709656},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4847509562969208},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4492451548576355},{"id":"https://openalex.org/keywords/convex-metric-space","display_name":"Convex metric space","score":0.44601914286613464},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42201003432273865},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41539114713668823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3228909969329834},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08312425017356873}],"concepts":[{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7200900316238403},{"id":"https://openalex.org/C156382255","wikidata":"https://www.wikidata.org/wiki/Q818895","display_name":"Computable number","level":4,"score":0.6590615510940552},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6084722876548767},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.5974652171134949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.581379234790802},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.5202868580818176},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.5133134722709656},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4847509562969208},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4492451548576355},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.44601914286613464},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42201003432273865},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41539114713668823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3228909969329834},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08312425017356873},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-39053-1_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39053-1_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:mro.massey.ac.nz:10179/13289","is_oa":true,"landing_page_url":null,"pdf_url":"http://www.newton.ac.uk/files/preprints/ni13004_0.pdf","source":{"id":"https://openalex.org/S4306402588","display_name":"Massey Research Online (Massey University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51158804","host_organization_name":"Massey University","host_organization_lineage":["https://openalex.org/I51158804"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Conference on Computability in Europe CiE 2013: The Nature of Computation. Logic, Algorithms, Applications","raw_type":"conference"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.423.5941","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.423.5941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.newton.ac.uk/preprints/NI13004.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:mro.massey.ac.nz:10179/13289","is_oa":true,"landing_page_url":null,"pdf_url":"http://www.newton.ac.uk/files/preprints/ni13004_0.pdf","source":{"id":"https://openalex.org/S4306402588","display_name":"Massey Research Online (Massey University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51158804","host_organization_name":"Massey University","host_organization_lineage":["https://openalex.org/I51158804"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Conference on Computability in Europe CiE 2013: The Nature of Computation. Logic, Algorithms, Applications","raw_type":"conference"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1522669644.pdf","grobid_xml":"https://content.openalex.org/works/W1522669644.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W633446433","https://openalex.org/W1492919311","https://openalex.org/W1492946114","https://openalex.org/W1497475168","https://openalex.org/W1524694507","https://openalex.org/W1958506772","https://openalex.org/W1982821787","https://openalex.org/W2005021983","https://openalex.org/W2022731279","https://openalex.org/W2042181181","https://openalex.org/W2047865735","https://openalex.org/W2051202241","https://openalex.org/W2056414301","https://openalex.org/W2059318640","https://openalex.org/W2059568104","https://openalex.org/W2063706894","https://openalex.org/W2068855023","https://openalex.org/W2084939213","https://openalex.org/W2090545214","https://openalex.org/W2102168847","https://openalex.org/W2115811029","https://openalex.org/W2126160338","https://openalex.org/W2502794726","https://openalex.org/W2611511037","https://openalex.org/W3099901893","https://openalex.org/W4205112415","https://openalex.org/W4206104100","https://openalex.org/W4230882443","https://openalex.org/W4243563333"],"related_works":["https://openalex.org/W197714092","https://openalex.org/W2150482238","https://openalex.org/W1577501449","https://openalex.org/W153068418","https://openalex.org/W2527631632","https://openalex.org/W1994403863","https://openalex.org/W2108904240","https://openalex.org/W1987175852","https://openalex.org/W1498085647","https://openalex.org/W2080359559"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
