{"id":"https://openalex.org/W1997868768","doi":"https://doi.org/10.1002/malq.19970430408","title":"On Interstices of Countable Arithmetically Saturated Models of Peano Arithmetic","display_name":"On Interstices of Countable Arithmetically Saturated Models of Peano Arithmetic","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1997868768","doi":"https://doi.org/10.1002/malq.19970430408","mag":"1997868768"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19970430408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430408","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5010064482","display_name":"Nicholas Bamber","orcid":null},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Nicholas Bamber","raw_affiliation_strings":["School of Mathematics, University of Bristol, Bristol BS8 1TW, England","School of Mathematics, University of Bristol , Bristol, BS8 1TW, England"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, Bristol BS8 1TW, England","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"School of Mathematics, University of Bristol , Bristol, BS8 1TW, England","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078850482","display_name":"Henryk Kotlarski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Henryk Kotlarski","raw_affiliation_strings":["Instytut Matematyki, WSRP w Siedlcach, ul. Orlicz-Dreszera 19/21, 08\u2013110 Siedlce, Poland","Instytut Matematyki, WSRP w Siedlcach, ul. Orlicz\u2010Dreszera 19/21, 08\u2013110 Siedlce, Poland"],"affiliations":[{"raw_affiliation_string":"Instytut Matematyki, WSRP w Siedlcach, ul. Orlicz-Dreszera 19/21, 08\u2013110 Siedlce, Poland","institution_ids":[]},{"raw_affiliation_string":"Instytut Matematyki, WSRP w Siedlcach, ul. Orlicz\u2010Dreszera 19/21, 08\u2013110 Siedlce, Poland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010064482"],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.5397,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.59408465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"43","issue":"4","first_page":"525","last_page":"540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9955000281333923,"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":0.9955000281333923,"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":0.9943000078201294,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9837999939918518,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.9784218072891235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9178392291069031},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8120215535163879},{"id":"https://openalex.org/keywords/second-order-arithmetic","display_name":"Second-order arithmetic","score":0.5643779635429382},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5440066456794739},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4116450250148773},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4071013629436493},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3255079984664917}],"concepts":[{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.9784218072891235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9178392291069031},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8120215535163879},{"id":"https://openalex.org/C65148605","wikidata":"https://www.wikidata.org/wiki/Q7442973","display_name":"Second-order arithmetic","level":3,"score":0.5643779635429382},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5440066456794739},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4116450250148773},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4071013629436493},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3255079984664917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19970430408","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430408","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W297809390","https://openalex.org/W599815360","https://openalex.org/W615345195","https://openalex.org/W1140955504","https://openalex.org/W1597834884","https://openalex.org/W1601654835","https://openalex.org/W1974949696","https://openalex.org/W1976171555","https://openalex.org/W1983927436","https://openalex.org/W1990598296","https://openalex.org/W2005638249","https://openalex.org/W2051085539","https://openalex.org/W2055731527","https://openalex.org/W2330233132","https://openalex.org/W2573016414"],"related_works":["https://openalex.org/W4255069280","https://openalex.org/W2951195380","https://openalex.org/W87599178","https://openalex.org/W2017398442","https://openalex.org/W1991956515","https://openalex.org/W4206411991","https://openalex.org/W4224937162","https://openalex.org/W2023423328","https://openalex.org/W2003918494","https://openalex.org/W4235932242"],"abstract_inverted_index":{"Abstract":[0],"We":[1,23],"give":[2],"some":[3],"information":[4],"about":[5],"the":[6],"action":[7],"of":[8,20,27],"Aut(M)":[9],"on":[10,25],"M(0),":[11],"where":[12],"M":[13],"is":[14],"a":[15],"countable":[16],"arithmetically":[17],"saturated":[18],"model":[19],"Peano":[21],"Arithmetic.":[22],"concentrate":[24],"analogues":[26],"moving":[28],"gaps":[29,32],"and":[30],"covering":[31],"inside":[33],"M(0).":[34]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
