{"id":"https://openalex.org/W2081181631","doi":"https://doi.org/10.1007/s00153-010-0180-0","title":"A criterion for coarse iterability","display_name":"A criterion for coarse iterability","publication_year":2010,"publication_date":"2010-03-15","ids":{"openalex":"https://openalex.org/W2081181631","doi":"https://doi.org/10.1007/s00153-010-0180-0","mag":"2081181631"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-010-0180-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-010-0180-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-010-0180-0.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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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/s00153-010-0180-0.pdf","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/I142393192","display_name":"College of Staten Island","ror":"https://ror.org/02p179j44","country_code":"US","type":"education","lineage":["https://openalex.org/I142393192"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gunter Fuchs","raw_affiliation_strings":["Department of Mathematics, College of Staten Island/Cuny, 2800 Victory Blvd, Staten Island, NY, 10314, USA","College of Staten Island-CUNY"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Staten Island/Cuny, 2800 Victory Blvd, Staten Island, NY, 10314, USA","institution_ids":["https://openalex.org/I142393192"]},{"raw_affiliation_string":"College of Staten Island-CUNY","institution_ids":["https://openalex.org/I142393192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072283323","display_name":"Itay Neeman","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Itay Neeman","raw_affiliation_strings":["Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, 90095-1555, USA","University of California at Los Angeles**"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, 90095-1555, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"University of California at Los Angeles**","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013788651","display_name":"Ralf Schindler","orcid":"https://orcid.org/0000-0003-0174-8048"},"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":false,"raw_author_name":"Ralf Schindler","raw_affiliation_strings":["Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","Westfalische Wilhelms-Universitat Munster;"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Westfalische Wilhelms-Universitat Munster;","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048116137"],"corresponding_institution_ids":["https://openalex.org/I142393192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3725,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.60230967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"4","first_page":"447","last_page":"467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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":0.9998000264167786,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9970999956130981,"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":0.9966999888420105,"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/mathematics","display_name":"Mathematics","score":0.8869591951370239},{"id":"https://openalex.org/keywords/extender","display_name":"Extender","score":0.7210761904716492},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4970853626728058},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4189738631248474}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8869591951370239},{"id":"https://openalex.org/C2776586616","wikidata":"https://www.wikidata.org/wiki/Q5421909","display_name":"Extender","level":3,"score":0.7210761904716492},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4970853626728058},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4189738631248474},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C2779578285","wikidata":"https://www.wikidata.org/wiki/Q146322","display_name":"Polyurethane","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00153-010-0180-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-010-0180-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-010-0180-0.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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.168.1456","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.168.1456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwmath.uni-muenster.de/math/inst/logik/org/staff/rds/CoarseIterability.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.297.4066","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.297.4066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ucla.edu/~ineeman/coarseIterability.pdf/","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.565.3672","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.565.3672","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.csi.cuny.edu/~fuchs/CoarseIterability.pdf","raw_type":"text"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt23s6c704","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/23s6c704","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Archive for Mathematical Logic, vol 49, iss 4","raw_type":"article"},{"id":"pmh:qt23s6c704","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/23s6c704","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fuchs, Gunter; Neeman, Itay; & Schindler, Ralf. (2010). A criterion for coarse iterability. Archive for Mathematical Logic, 49(4), pp 447-467. doi: 10.1007/s00153-010-0180-0. Retrieved from: http://www.escholarship.org/uc/item/23s6c704","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00153-010-0180-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-010-0180-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-010-0180-0.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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2081181631.pdf","grobid_xml":"https://content.openalex.org/works/W2081181631.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W98969548","https://openalex.org/W1481565952","https://openalex.org/W1508198714","https://openalex.org/W1591960753","https://openalex.org/W1608887313","https://openalex.org/W2043627871","https://openalex.org/W2105223399","https://openalex.org/W4248655848","https://openalex.org/W4302414399"],"related_works":["https://openalex.org/W1704282673","https://openalex.org/W2381750991","https://openalex.org/W137618539","https://openalex.org/W2946590950","https://openalex.org/W2808928049","https://openalex.org/W3035416281","https://openalex.org/W2383882372","https://openalex.org/W2102878865","https://openalex.org/W2416632553","https://openalex.org/W2365963137"],"abstract_inverted_index":{"The":[0],"main":[1],"result":[2],"of":[3,43,66],"this":[4],"paper":[5],"is":[6,24,39,51,74],"the":[7,63],"following":[8],"theorem:":[9],"Let":[10],"M":[11,23,37,44,49,67,73],"be":[12],"a":[13,16,40],"premouse":[14],"with":[15,54],"top":[17,64],"extender,":[18],"F.":[19],"Suppose":[20],"that":[21],"(a)":[22],"linearly":[25],"coarsely":[26,52,75],"iterable":[27,53],"via":[28],"hitting":[29],"F":[30],"and":[31,34,69],"its":[32,70],"images,":[33],"(b)":[35],"if":[36],"*":[38,50,68],"linear":[41],"iterate":[42],"as":[45],"in":[46],"(a),":[47],"then":[48],"respect":[55],"to":[56],"iteration":[57],"trees":[58],"which":[59],"do":[60],"not":[61],"use":[62],"extender":[65],"images.":[71],"Then":[72],"iterable.":[76]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}