{"id":"https://openalex.org/W3093384391","doi":"https://doi.org/10.1007/s00153-022-00843-5","title":"On the rigidity of Souslin trees and their generic branches","display_name":"On the rigidity of Souslin trees and their generic branches","publication_year":2022,"publication_date":"2022-09-19","ids":{"openalex":"https://openalex.org/W3093384391","doi":"https://doi.org/10.1007/s00153-022-00843-5","mag":"3093384391"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-022-00843-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-022-00843-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00843-5.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00843-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046394140","display_name":"Hossein Lamei Ramandi","orcid":null},"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":true,"raw_author_name":"Hossein Lamei Ramandi","raw_affiliation_strings":["University of M\u00fcnster, M\u00fcnster, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of M\u00fcnster, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046394140"],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0098211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"3-4","first_page":"419","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.8919000029563904,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.8919000029563904,"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/T10169","display_name":"Protein Kinase Regulation and GTPase Signaling","score":0.8847000002861023,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10617","display_name":"Cellular transport and secretion","score":0.8738999962806702,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5644999146461487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4249507188796997},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4242144525051117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33259129524230957}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5644999146461487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4249507188796997},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4242144525051117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33259129524230957}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-022-00843-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-022-00843-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00843-5.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00153-022-00843-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-022-00843-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-022-00843-5.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322957","display_name":"Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster","ror":"https://ror.org/00pd74e08"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3093384391.pdf","grobid_xml":"https://content.openalex.org/works/W3093384391.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W135764390","https://openalex.org/W2063586647","https://openalex.org/W2146629091"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2386767533"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2,68],"it":[3,69],"is":[4,8,21,53,70,86,110],"consistent":[5,71],"that":[6,14,79],"there":[7,85],"a":[9,87,104,113],"Souslin":[10,82],"tree":[11,83],"S":[12,18,20],"such":[13],"after":[15],"forcing":[16],"with":[17,72],",":[19,42],"Kurepa":[22],"and":[23],"for":[24,80],"all":[25],"clubs":[26],"$$C":[27],"\\subset":[28],"\\omega":[29],"_1$$":[30],"<mml:math":[31,45,75,92],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[32,46,76,93],"<mml:mrow>":[33,47,94],"<mml:mi>C</mml:mi>":[34,50],"<mml:mo>\u2282</mml:mo>":[35],"<mml:msub>":[36],"<mml:mi>\u03c9</mml:mi>":[37],"<mml:mn>1</mml:mn>":[38],"</mml:msub>":[39],"</mml:mrow>":[40,51,98],"</mml:math>":[41,52,78,99],"$$S\\upharpoonright":[43],"C$$":[44],"<mml:mi>S</mml:mi>":[48],"<mml:mo>\u21be</mml:mo>":[49],"rigid.":[54],"This":[55,109],"answers":[56],"the":[57],"questions":[58],"in":[59,118],"Fuchs":[60],"(Arch":[61],"Math":[62],"Logic":[63],"52(1\u20132):47\u201366,":[64],"2013).":[65],"Moreover,":[66],"we":[67],"$$\\diamondsuit":[73],"$$":[74],"<mml:mo>\u2662</mml:mo>":[77],"every":[81],"T":[84,107],"dense":[88],"$$X":[89],"\\subseteq":[90],"T$$":[91],"<mml:mi>X</mml:mi>":[95],"<mml:mo>\u2286</mml:mo>":[96],"<mml:mi>T</mml:mi>":[97],"which":[100],"does":[101],"not":[102],"contain":[103],"copy":[105],"of":[106,127],".":[108],"related":[111],"to":[112,116],"question":[114],"due":[115],"Baumgartner":[117,119],"(Ordered":[120],"sets":[121],"(Banff,":[122],"Alta.,":[123],"1981),":[124],"volume":[125],"83":[126],"NATO":[128],"Adv.":[129],"Study":[130],"Inst.":[131],"Ser.":[132],"C:":[133],"Math.":[134],"Phys.":[135],"Sci.,":[136],"Reidel,":[137],"Dordrecht-Boston,":[138],"pp":[139],"239\u2013277,":[140],"1982).":[141]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}