{"id":"https://openalex.org/W7214120686","doi":"https://doi.org/10.48550/arxiv.2609.25132","title":"Ramsey theory and topological dynamics of 0-dimensional flows","display_name":"Ramsey theory and topological dynamics of 0-dimensional flows","publication_year":2026,"publication_date":"2026-09-20","ids":{"openalex":"https://openalex.org/W7214120686","doi":"https://doi.org/10.48550/arxiv.2609.25132"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.25132","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25132","pdf_url":"https://arxiv.org/pdf/2609.25132","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.25132","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033122829","display_name":"Krzysztof Krupi\u0144ski","orcid":"https://orcid.org/0000-0002-2243-4411","observed_orcids":["https://orcid.org/0000-0002-2243-4411"]},"institutions":[{"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/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["PL","RS"],"is_corresponding":false,"raw_author_name":"Krupi\u0144ski, Krzysztof","raw_affiliation_strings":["Instytut Matematyczny , Uniwersytet Wroc\u0142awski pl. Grunwaldzki 2 , 50-384 Wroc\u0142aw , Poland","University of Belgrade , Faculty of Mathematics Studenski trg 16 , 11158 Belgrade , Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Matematyczny , Uniwersytet Wroc\u0142awski pl. Grunwaldzki 2 , 50-384 Wroc\u0142aw , Poland","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"University of Belgrade , Faculty of Mathematics Studenski trg 16 , 11158 Belgrade , Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152539559","display_name":"Junguk Lee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I174101054","display_name":"Changwon National University","ror":"https://ror.org/04ts4qa58","country_code":"KR","type":"education","lineage":["https://openalex.org/I174101054"]},{"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"]}],"countries":["KR","PL"],"is_corresponding":false,"raw_author_name":"Lee, Junguk","raw_affiliation_strings":["Department of Mathematics , Changwon National University 20 Changwondaehak-ro , Uichang-gu , Changwon-si , Gyeongsangnam-do , 51140 , South Korea","Instytut Matematyczny , Uniwersytet Wroc\u0142awski pl. Grunwaldzki 2 , 50-384 Wroc\u0142aw , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Changwon National University 20 Changwondaehak-ro , Uichang-gu , Changwon-si , Gyeongsangnam-do , 51140 , South Korea","institution_ids":["https://openalex.org/I174101054"]},{"raw_affiliation_string":"Instytut Matematyczny , Uniwersytet Wroc\u0142awski pl. Grunwaldzki 2 , 50-384 Wroc\u0142aw , Poland","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067535980","display_name":"Slavko Moconja","orcid":"https://orcid.org/0000-0003-4095-8830","observed_orcids":["https://orcid.org/0000-0003-4095-8830"]},"institutions":[{"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"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Moconja, Slavko","raw_affiliation_strings":["Instytut Matematyczny , Uniwersytet Wroc\u0142awski pl. Grunwaldzki 2 , 50-384 Wroc\u0142aw , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Matematyczny , Uniwersytet Wroc\u0142awski pl. Grunwaldzki 2 , 50-384 Wroc\u0142aw , Poland","institution_ids":["https://openalex.org/I219388962"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9726999998092651,"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":0.9726999998092651,"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":0.016100000590085983,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/ramsey-theory","display_name":"Ramsey theory","score":0.9750000238418579},{"id":"https://openalex.org/keywords/topological-dynamics","display_name":"topological dynamics","score":0.9160000085830688},{"id":"https://openalex.org/keywords/first-order-theories","display_name":"first-order theories","score":0.8790000081062317},{"id":"https://openalex.org/keywords/definable-groups","display_name":"definable groups","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8008999824523926},{"id":"https://openalex.org/C2778795013","wikidata":"https://www.wikidata.org/wiki/Q945127","display_name":"Triviality","level":2,"score":0.800599992275238},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5221999883651733},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5073999762535095},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48240000009536743},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4262000024318695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3084999918937683},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C47600822","wikidata":"https://www.wikidata.org/wiki/Q7825032","display_name":"Topological dynamics","level":5,"score":0.2847000062465668},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C112291201","wikidata":"https://www.wikidata.org/wiki/Q1336170","display_name":"Ramsey theory","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.2678999900817871}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.25132","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25132","pdf_url":"https://arxiv.org/pdf/2609.25132","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.25132","doi":"https://doi.org/10.48550/arxiv.2609.25132","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.25132","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.25132","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.25132","pdf_url":"https://arxiv.org/pdf/2609.25132","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8875800377","display_name":null,"funder_award_id":"2016/22/E/ST1/00450","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214120686.pdf","grobid_xml":"https://content.openalex.org/works/W7214120686.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1502662343","https://openalex.org/W1968276645","https://openalex.org/W1973710784","https://openalex.org/W2029138855","https://openalex.org/W2038734040","https://openalex.org/W2045264079","https://openalex.org/W2049449892","https://openalex.org/W2083521125","https://openalex.org/W2106715694","https://openalex.org/W2118578821","https://openalex.org/W2134988756","https://openalex.org/W2156259376","https://openalex.org/W2567357456","https://openalex.org/W2610787421","https://openalex.org/W2810103639","https://openalex.org/W2896193365","https://openalex.org/W2963004352","https://openalex.org/W2963113467","https://openalex.org/W2963933674","https://openalex.org/W2976435946","https://openalex.org/W2996020629","https://openalex.org/W3017090269","https://openalex.org/W4390528648","https://openalex.org/W4399399703","https://openalex.org/W4403591975","https://openalex.org/W4405825081","https://openalex.org/W7171510703"],"related_works":["https://openalex.org/W2996020629","https://openalex.org/W2026008537","https://openalex.org/W4250903274","https://openalex.org/W7006107778","https://openalex.org/W2964199268","https://openalex.org/W7097179418","https://openalex.org/W2124415378","https://openalex.org/W2802639530","https://openalex.org/W4245799073","https://openalex.org/W1968276645"],"abstract_inverted_index":{"We":[0],"introduce":[1],"several":[2],"Ramsey-theoretic":[3,17],"properties":[4],"of":[5,24,30,34,52,67,81,107],"0-dimensional":[6],"ambits":[7,36],"and":[8,21,93,101],"obtain":[9,16],"their":[10],"dynamical":[11],"characterizations.":[12],"In":[13],"consequence,":[14],"we":[15,77],"criteria":[18],"for":[19,22,43,65],"triviality":[20],"profiniteness":[23],"some":[25],"important":[26],"invariants":[27],"(in":[28],"particular,":[29],"the":[31,35,44,53,68,73,82,95],"Ellis":[32,74],"groups)":[33],"in":[37,72,105],"question.":[38],"This":[39],"yields":[40],"a":[41,57,63],"criterion":[42,64],"structural":[45],"property":[46],"that":[47],"each":[48,106],"distal":[49],"minimal":[50,69],"factor":[51],"given":[54],"ambit":[55],"is":[56,62],"profinite":[58],"flow.":[59],"Another":[60],"result":[61],"metrizability":[66],"left":[70],"ideals":[71],"semigroup.":[75],"Then":[76],"study":[78],"three":[79],"specializations":[80],"above":[83],"abstract":[84],"context:":[85],"to":[86,90,94],"first":[87],"order":[88],"theories,":[89],"definable":[91],"groups,":[92],"classical":[96],"Kechris-Pestov-Todor\u010devi\u0107":[97],"theory,":[98],"recovering":[99],"known":[100],"obtaining":[102],"new":[103],"results":[104],"these":[108],"contexts.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-24T00:00:00"}
