{"id":"https://openalex.org/W2063586647","doi":"https://doi.org/10.2178/jsl/1243948321","title":"Degrees of rigidity for Souslin trees","display_name":"Degrees of rigidity for Souslin trees","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2063586647","doi":"https://doi.org/10.2178/jsl/1243948321","mag":"2063586647"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1243948321","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1243948321","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":"The 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/A5048116137","display_name":"G\u00fcnter Fuchs","orcid":"https://orcid.org/0000-0003-4627-3154"},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"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","US"],"is_corresponding":false,"raw_author_name":"Gunter Fuchs","raw_affiliation_strings":["Mathematics, The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, Ny 10016, USA","Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics, The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, Ny 10016, USA","institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"]},{"raw_affiliation_string":"Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany, E-mail:","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/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I142393192","display_name":"College of Staten Island","ror":"https://ror.org/02p179j44","country_code":"US","type":"education","lineage":["https://openalex.org/I142393192"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joel David Hamkins","raw_affiliation_strings":["Mathematics, The College of Staten Island of Cuny, Staten Island, Ny 10314, USA, E-mail:","Mathematics, The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, Ny 10016, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics, The College of Staten Island of Cuny, Staten Island, Ny 10314, USA, E-mail:","institution_ids":["https://openalex.org/I142393192"]},{"raw_affiliation_string":"Mathematics, The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, Ny 10016, USA","institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.7253,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.67512089,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"74","issue":"2","first_page":"423","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9991000294685364,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9984999895095825,"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/rigidity","display_name":"Rigidity (electromagnetism)","score":0.8155300617218018},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.623936653137207},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.6091459393501282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.547374963760376},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.48864084482192993},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.42196792364120483},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37022364139556885},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3613627851009369},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16207930445671082},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.13596948981285095},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11804944276809692},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.09573203325271606}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.8155300617218018},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.623936653137207},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.6091459393501282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.547374963760376},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.48864084482192993},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.42196792364120483},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37022364139556885},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3613627851009369},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16207930445671082},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.13596948981285095},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11804944276809692},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.09573203325271606},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1243948321","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1243948321","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":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.239.2644","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.2644","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0602482v1.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1243948321","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1243948321","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W652207458","https://openalex.org/W1525482551","https://openalex.org/W1544683942","https://openalex.org/W1667979969","https://openalex.org/W1904373024","https://openalex.org/W1920379909","https://openalex.org/W1967880351","https://openalex.org/W1978819760","https://openalex.org/W1983173106","https://openalex.org/W1995759544","https://openalex.org/W1997189097","https://openalex.org/W1998595717","https://openalex.org/W2000466618","https://openalex.org/W2014484141","https://openalex.org/W2033140217","https://openalex.org/W2046722301","https://openalex.org/W2077021621","https://openalex.org/W2115850110","https://openalex.org/W2460367270","https://openalex.org/W2603218873","https://openalex.org/W4229932192","https://openalex.org/W4245206694","https://openalex.org/W6632495956","https://openalex.org/W6662091021","https://openalex.org/W6718223843"],"related_works":["https://openalex.org/W4386794052","https://openalex.org/W3124311696","https://openalex.org/W2978083782","https://openalex.org/W4296189704","https://openalex.org/W2963257052","https://openalex.org/W4302155387","https://openalex.org/W2949256963","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2949890955"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"various":[3],"strong":[4],"notions":[5],"of":[6],"rigidity":[7],"for":[8],"Souslin":[9],"trees,":[10],"separating":[11],"them":[12],"under":[13,31],"\u27e1":[14,32],"into":[15],"a":[16,36],"hierarchy.":[17],"Applying":[18],"our":[19],"methods":[20],"to":[21],"the":[22],"automorphism":[23,39],"tower":[24,40],"problem":[25],"in":[26],"group":[27,37],"theory,":[28],"we":[29],"show":[30],"that":[33],"there":[34],"is":[35,41],"whose":[38],"highly":[42],"malleable":[43],"by":[44],"forcing.":[45]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
