{"id":"https://openalex.org/W2056536144","doi":"https://doi.org/10.2307/2586555","title":"Maharam spectra of Loeb spaces","display_name":"Maharam spectra of Loeb spaces","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W2056536144","doi":"https://doi.org/10.2307/2586555","mag":"2056536144"},"language":"en","primary_location":{"id":"doi:10.2307/2586555","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2586555","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5050539424","display_name":"Renling Jin","orcid":"https://orcid.org/0000-0002-1625-1539"},"institutions":[{"id":"https://openalex.org/I204593131","display_name":"College of Charleston","ror":"https://ror.org/00390t168","country_code":"US","type":"education","lineage":["https://openalex.org/I204593131"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Renling Jin","raw_affiliation_strings":["Department of Mathematics, College of Charleston, Charleston, SC 29424, E-mail:","Department of Mathematics, College of Charleston, Charleston, SC 29424, E-mail: jin@math.cocf.edu"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Charleston, Charleston, SC 29424, E-mail:","institution_ids":["https://openalex.org/I204593131"]},{"raw_affiliation_string":"Department of Mathematics, College of Charleston, Charleston, SC 29424, E-mail: jin@math.cocf.edu","institution_ids":["https://openalex.org/I204593131"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009762723","display_name":"H. Jerome Keisler","orcid":"https://orcid.org/0009-0007-1747-1393"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Jerome Keisler","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, WI 53706, E-mail:","Department of Mathematics, University of Wisconsin, Madison, WI 53706, E-mail: keisler@math.wisc.edu"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI 53706, E-mail:","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI 53706, E-mail: keisler@math.wisc.edu","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050539424"],"corresponding_institution_ids":["https://openalex.org/I204593131"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.17380008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"2","first_page":"550","last_page":"566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9993000030517578,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9990000128746033,"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/spectral-line","display_name":"Spectral line","score":0.6806949973106384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3282673954963684},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2720770835876465},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06633582711219788}],"concepts":[{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.6806949973106384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3282673954963684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2720770835876465},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06633582711219788}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2307/2586555","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2586555","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183746063","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183746063","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.109.7464","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.7464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.wisc.edu/~keisler/spectra.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.36.9934","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.9934","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.cofc.edu/faculty/jin/research/spectra.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.37.815","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://kleene.math.wisc.edu/~keisler/spectra.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W66289639","https://openalex.org/W219454614","https://openalex.org/W618861887","https://openalex.org/W1199449240","https://openalex.org/W1508761264","https://openalex.org/W1584275176","https://openalex.org/W1964095001","https://openalex.org/W1993320594","https://openalex.org/W2013875099","https://openalex.org/W2016165693","https://openalex.org/W2037034422","https://openalex.org/W2047612490","https://openalex.org/W2063347661","https://openalex.org/W2099041909","https://openalex.org/W2112149503","https://openalex.org/W2155685957","https://openalex.org/W2157276982","https://openalex.org/W2551720480","https://openalex.org/W2799061192","https://openalex.org/W2951610039","https://openalex.org/W6641364253"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"characterize":[2],"Maharam":[3],"spectra":[4],"of":[5,13],"Loeb":[6],"probability":[7],"spaces":[8],"and":[9],"give":[10],"some":[11],"applications":[12],"the":[14],"results.":[15]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}