{"id":"https://openalex.org/W2115850110","doi":"https://doi.org/10.2178/jsl/1208359063","title":"Changing the heights of automorphism towers by forcing with Souslin trees over L","display_name":"Changing the heights of automorphism towers by forcing with Souslin trees over L","publication_year":2008,"publication_date":"2008-04-16","ids":{"openalex":"https://openalex.org/W2115850110","doi":"https://doi.org/10.2178/jsl/1208359063","mag":"2115850110"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1208359063","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/math/0702768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048116137","display_name":"G\u00fcnter Fuchs","orcid":"https://orcid.org/0000-0003-4627-3154"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"funder","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gunter Fuchs","raw_affiliation_strings":["Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00f9nster, Institut F\u00fcr Mathematische Logik Und Grundlagenforschung, Einsteinstra\u03b2e 62, 48149 Munster., Germany, E-mail: gfuchs@math.uni-muenster.de"],"affiliations":[{"raw_affiliation_string":"Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00f9nster, Institut F\u00fcr Mathematische Logik Und Grundlagenforschung, Einsteinstra\u03b2e 62, 48149 Munster., Germany, E-mail: gfuchs@math.uni-muenster.de","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078404862","display_name":"Joel David Hamkins","orcid":"https://orcid.org/0000-0002-9959-0500"},"institutions":[{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"funder","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"funder","lineage":["https://openalex.org/I121847817"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joel David Hamkins","raw_affiliation_strings":["Mathematics Program, The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, NY 10016., USA, E-mail: jdh@hamkins.org"],"affiliations":[{"raw_affiliation_string":"Mathematics Program, The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, NY 10016., USA, E-mail: jdh@hamkins.org","institution_ids":["https://openalex.org/I174216632","https://openalex.org/I121847817"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.64,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":3,"citation_normalized_percentile":{"value":0.472757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":74,"max":76},"biblio":{"volume":"73","issue":"2","first_page":"614","last_page":"633"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9971,"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":0.9971,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.988,"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/T11567","display_name":"semigroups and automata theory","score":0.9816,"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/forcing","display_name":"Forcing (mathematics)","score":0.8724946},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.7086508},{"id":"https://openalex.org/keywords/group-isomorphism","display_name":"Group isomorphism","score":0.41143137}],"concepts":[{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.8724946},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7086508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6308664},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.60661954},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.5188583},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.43439546},{"id":"https://openalex.org/C155190451","wikidata":"https://www.wikidata.org/wiki/Q742064","display_name":"Group isomorphism","level":5,"score":0.41143137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3876695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37691873},{"id":"https://openalex.org/C124453015","wikidata":"https://www.wikidata.org/wiki/Q1139583","display_name":"Inner automorphism","level":4,"score":0.29731274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2373164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08434257},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.07363349},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.07146382},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06294143},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1208359063","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0702768","pdf_url":"http://arxiv.org/pdf/math/0702768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0702768","pdf_url":"http://arxiv.org/pdf/math/0702768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.77,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":8,"referenced_works":["https://openalex.org/W1667979969","https://openalex.org/W1920379909","https://openalex.org/W1967880351","https://openalex.org/W2000466618","https://openalex.org/W2063586647","https://openalex.org/W2953091656","https://openalex.org/W4245206694","https://openalex.org/W652207458"],"related_works":["https://openalex.org/W4737311","https://openalex.org/W4302155387","https://openalex.org/W4289596368","https://openalex.org/W2949890955","https://openalex.org/W2949256963","https://openalex.org/W2545189445","https://openalex.org/W2264849344","https://openalex.org/W2152762421","https://openalex.org/W2115024785","https://openalex.org/W2085781584"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3],"there":[4,32],"are":[5,14,33],"groups":[6],"in":[7],"the":[8,24],"constructible":[9],"universe":[10],"whose":[11,41],"automorphism":[12],"towers":[13],"highly":[15,36],"malleable":[16],"by":[17,48],"forcing.":[18,49],"This":[19],"is":[20],"a":[21,28],"consequence":[22],"of":[23],"fact":[25],"that,":[26],"under":[27],"suitable":[29],"diamond":[30],"hypothesis,":[31],"sufficiently":[34],"many":[35],"rigid":[37],"non-isomorphic":[38],"Souslin":[39],"trees":[40],"isomorphism":[42],"relation":[43],"can":[44],"be":[45],"precisely":[46],"controlled":[47]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2115850110","counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-03-19T15:59:48.725021","created_date":"2016-06-24"}