{"id":"https://openalex.org/W2111037906","doi":"https://doi.org/10.1007/s00153-006-0002-6","title":"Projective Well-orderings of the Reals","display_name":"Projective Well-orderings of the Reals","publication_year":2006,"publication_date":"2006-06-16","ids":{"openalex":"https://openalex.org/W2111037906","doi":"https://doi.org/10.1007/s00153-006-0002-6","mag":"2111037906"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-006-0002-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-006-0002-6","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/A5103145756","display_name":"Andr\u00e9s Eduardo Caicedo","orcid":"https://orcid.org/0000-0001-8738-2037"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andr\u00e9s Eduardo Caicedo","raw_affiliation_strings":["Department of Mathematics, California Institute of Technology, Mail code 253-37, Pasadena, CA, 91125, USA","California  Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California Institute of Technology, Mail code 253-37, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California  Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013788651","display_name":"Ralf Schindler","orcid":"https://orcid.org/0000-0003-0174-8048"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ralf Schindler","raw_affiliation_strings":["Institut f\u00fcr mathematische Logik und Grundlagenforschung, Universit\u00e4t Munster, Einsteinstra\u00dfe 62, 48149, M\u00fcnster, Germany","Universit\u00e4t M\u00dcNSTER"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr mathematische Logik und Grundlagenforschung, Universit\u00e4t Munster, Einsteinstra\u00dfe 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Universit\u00e4t M\u00dcNSTER","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103145756"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.16993533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"7","first_page":"783","last_page":"793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976000189781189,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8280980587005615},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.7226730585098267},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.7146087884902954},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5824200510978699},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4981968402862549},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4563775956630707},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.4414505362510681},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4080047011375427},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37746065855026245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2972613275051117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11045712232589722},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07613754272460938}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8280980587005615},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.7226730585098267},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.7146087884902954},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5824200510978699},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4981968402862549},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4563775956630707},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.4414505362510681},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4080047011375427},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37746065855026245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2972613275051117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11045712232589722},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07613754272460938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-006-0002-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-006-0002-6","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:24538","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/24538/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W744428497","https://openalex.org/W1508198714","https://openalex.org/W1608887313","https://openalex.org/W1870892404","https://openalex.org/W1978413491","https://openalex.org/W1981403458","https://openalex.org/W2007148812","https://openalex.org/W2007636328","https://openalex.org/W2046839939","https://openalex.org/W2062673218","https://openalex.org/W2079479628","https://openalex.org/W2084564078","https://openalex.org/W4302414399"],"related_works":["https://openalex.org/W2001489718","https://openalex.org/W2024319036","https://openalex.org/W1549557214","https://openalex.org/W1982071305","https://openalex.org/W2004502427","https://openalex.org/W2073468254","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2042560047","https://openalex.org/W2080177675"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
