{"id":"https://openalex.org/W1996671466","doi":"https://doi.org/10.2178/jsl/1286198141","title":"Generalizations of small profinite structures","display_name":"Generalizations of small profinite structures","publication_year":2010,"publication_date":"2010-10-04","ids":{"openalex":"https://openalex.org/W1996671466","doi":"https://doi.org/10.2178/jsl/1286198141","mag":"1996671466"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1286198141","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1286198141","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/A5033122829","display_name":"Krzysztof Krupi\u0144ski","orcid":"https://orcid.org/0000-0002-2243-4411"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL","US"],"is_corresponding":true,"raw_author_name":"Krzysztof Krupi\u0144ski","raw_affiliation_strings":["Instytut Matematyczny Uniwersytetu Wroc\u0142awskiego, Pl. Grunwaldzki 2/4. 50-384 Wroc\u0142aw, Poland","Mathematics Department, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801., USA. E-mail:","Instytut Matematyczny Uniwersytetu Wroc\u0142awskiego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Matematyczny Uniwersytetu Wroc\u0142awskiego, Pl. Grunwaldzki 2/4. 50-384 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"Mathematics Department, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801., USA. E-mail:","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Instytut Matematyczny Uniwersytetu Wroc\u0142awskiego","institution_ids":["https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033122829"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I219388962","https://openalex.org/I4210137370"],"apc_list":null,"apc_paid":null,"fwci":1.1213,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75121826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"75","issue":"4","first_page":"1147","last_page":"1175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9976999759674072,"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":0.9976999759674072,"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":0.9833999872207642,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9172999858856201,"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/mathematics","display_name":"Mathematics","score":0.7185726165771484},{"id":"https://openalex.org/keywords/profinite-group","display_name":"Profinite group","score":0.6855558753013611},{"id":"https://openalex.org/keywords/locally-compact-space","display_name":"Locally compact space","score":0.639674961566925},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.574201226234436},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5304343700408936},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5189211368560791},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5146468877792358},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.49656468629837036},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4817057251930237},{"id":"https://openalex.org/keywords/structured-program-theorem","display_name":"Structured program theorem","score":0.4255429804325104},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.40798789262771606},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3816767930984497},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37684887647628784},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33359992504119873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1905573010444641},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1609041690826416},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1305035948753357},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09789761900901794}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7185726165771484},{"id":"https://openalex.org/C14735163","wikidata":"https://www.wikidata.org/wiki/Q1428923","display_name":"Profinite group","level":3,"score":0.6855558753013611},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.639674961566925},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.574201226234436},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5304343700408936},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5189211368560791},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5146468877792358},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.49656468629837036},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4817057251930237},{"id":"https://openalex.org/C180375552","wikidata":"https://www.wikidata.org/wiki/Q2635326","display_name":"Structured program theorem","level":2,"score":0.4255429804325104},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.40798789262771606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3816767930984497},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37684887647628784},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33359992504119873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1905573010444641},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1609041690826416},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1305035948753357},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09789761900901794},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1286198141","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1286198141","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:CULeuclid:euclid.jsl/1286198141","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1286198141","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.163.4574","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.4574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.logique.jussieu.fr/modnet/Publications/Preprint%20server/papers/81/81.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1589842199","https://openalex.org/W1974705655","https://openalex.org/W1976071211","https://openalex.org/W1978351049","https://openalex.org/W1989573501","https://openalex.org/W2000704066","https://openalex.org/W2014717479","https://openalex.org/W2016176977","https://openalex.org/W2018817710","https://openalex.org/W2024986251","https://openalex.org/W2031545424","https://openalex.org/W2055684264","https://openalex.org/W2091065992","https://openalex.org/W2157886454","https://openalex.org/W2159685405","https://openalex.org/W4256751134"],"related_works":["https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W2000020320","https://openalex.org/W4252969132","https://openalex.org/W1449831302","https://openalex.org/W2761453547","https://openalex.org/W4379276596","https://openalex.org/W2219451982","https://openalex.org/W4295952637","https://openalex.org/W2043804377"],"abstract_inverted_index":{"Abstract":[0],"We":[1,41],"generalize":[2],"the":[3,14,29,43,51,54,94],"model":[4],"theory":[5],"of":[6,16,25,31,50,53,56,66,75,93,105,114,116,145],"small":[7,79,123],"profinite":[8,80],"structures":[9,81,107],"developed":[10],"by":[11],"Newelski":[12],"to":[13,82],"case":[15],"compact":[17,23,38,83,106,117,135],"metric":[18],"spaces":[19],"considered":[20],"together":[21],"with":[22,142],"groups":[24],"homeomorphisms":[26],"and":[27,47,60],"satisfying":[28],"existence":[30,55],"m":[32,57,133,146],"-independent":[33,58],"extensions":[34,59],"(we":[35],"call":[36],"them":[37],"e":[39,84,118,136],"-structures).":[40],"analyze":[42],"relationships":[44],"between":[45],"smallness":[46],"different":[48],"versions":[49],"assumption":[52],"we":[61,71,88],"obtain":[62],"some":[63],"topological":[64],"consequences":[65],"these":[67],"assumptions.":[68],"Using":[69,110],"them,":[70],"adopt":[72],"Newelski's":[73],"proofs":[74],"various":[76],"results":[77],"about":[78],"-structures.":[85],"In":[86],"particular,":[87],"notice":[89],"that":[90,130],"a":[91,112,143],"variant":[92],"group":[95],"configuration":[96],"theorem":[97],"holds":[98],"in":[99,131],"this":[100],"context.":[101],"A":[102],"general":[103],"construction":[104],"is":[108,124,127,140],"described.":[109],"it,":[111],"class":[113],"examples":[115],"-structures":[119],"which":[120],"are":[121],"not":[122],"constructed.":[125],"It":[126],"also":[128],"noticed":[129],"an":[132],"-stable":[134],"-structure":[137],"every":[138],"orbit":[139],"equidominant":[141],"product":[144],"-regular":[147],"orbits.":[148]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}