{"id":"https://openalex.org/W2152563926","doi":"https://doi.org/10.1142/s0219061301000041","title":"THE INDISCERNIBLE TOPOLOGY: A MOCK ZARISKI TOPOLOGY","display_name":"THE INDISCERNIBLE TOPOLOGY: A MOCK ZARISKI TOPOLOGY","publication_year":2001,"publication_date":"2001-05-01","ids":{"openalex":"https://openalex.org/W2152563926","doi":"https://doi.org/10.1142/s0219061301000041","mag":"2152563926"},"language":"en","primary_location":{"id":"doi:10.1142/s0219061301000041","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061301000041","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical 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/A5054904823","display_name":"Markus Junker","orcid":null},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"MARKUS JUNKER","raw_affiliation_strings":["Institut f\u00fcr mathematische Logik, Universit\u00e4t Freiburg, Eckerstrasse 1, 79104 Freiburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr mathematische Logik, Universit\u00e4t Freiburg, Eckerstrasse 1, 79104 Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018633001","display_name":"Daniel Lascar","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"DANIEL LASCAR","raw_affiliation_strings":["\u00c9quipe de logique math\u00e9matique, Universit\u00e9 Paris 7, 2, place Jussieu, 75251 Paris Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"\u00c9quipe de logique math\u00e9matique, Universit\u00e9 Paris 7, 2, place Jussieu, 75251 Paris Cedex 05, France","institution_ids":["https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054904823"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":0.4867,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65082036,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"01","issue":"01","first_page":"99","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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":0.9975000023841858,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.74086594581604},{"id":"https://openalex.org/keywords/noetherian","display_name":"Noetherian","score":0.7389105558395386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7245772480964661},{"id":"https://openalex.org/keywords/comparison-of-topologies","display_name":"Comparison of topologies","score":0.7096361517906189},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.7078291177749634},{"id":"https://openalex.org/keywords/extension-topology","display_name":"Extension topology","score":0.568711519241333},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.4926503300666809},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.41419151425361633},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3036055564880371},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.2037787139415741},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15901628136634827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15803900361061096},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.15469884872436523}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.74086594581604},{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.7389105558395386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7245772480964661},{"id":"https://openalex.org/C176293985","wikidata":"https://www.wikidata.org/wiki/Q906456","display_name":"Comparison of topologies","level":5,"score":0.7096361517906189},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.7078291177749634},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.568711519241333},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.4926503300666809},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41419151425361633},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3036055564880371},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.2037787139415741},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15901628136634827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15803900361061096},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.15469884872436523},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219061301000041","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061301000041","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:freidok.uni-freiburg.de:21100","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/21100","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Logic. - 01, 01 (2001) , 99-124, ISSN: 0219-0613","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1984427756","https://openalex.org/W2046388583","https://openalex.org/W2050070395","https://openalex.org/W2107348130","https://openalex.org/W2154686179","https://openalex.org/W4243823177","https://openalex.org/W4254519827"],"related_works":["https://openalex.org/W2096666603","https://openalex.org/W83450382","https://openalex.org/W871345434","https://openalex.org/W4378422247","https://openalex.org/W49104438","https://openalex.org/W1980603880","https://openalex.org/W1963725260","https://openalex.org/W2506260474","https://openalex.org/W3162448332","https://openalex.org/W2381363899"],"abstract_inverted_index":{"We":[0,42],"associate":[1],"with":[2],"every":[3],"first":[4],"order":[5],"structure":[6,25,36],"[Formula:":[7],"see":[8],"text]":[9],"a":[10,56],"family":[11],"of":[12,34],"invariant,":[13],"locally":[14],"Noetherian":[15],"topologies":[16,45],"(one":[17],"topology":[18,62],"on":[19],"each":[20],"M":[21],"n":[22],").":[23],"The":[24],"is":[26],"almost":[27],"determined":[28],"by":[29,39],"the":[30,35,60],"topologies,":[31],"and":[32],"properties":[33],"are":[37],"reflected":[38],"topological":[40],"properties.":[41],"study":[43],"these":[44],"in":[46,63],"particular":[47],"for":[48],"stable":[49],"structures.":[50],"In":[51],"nice":[52],"cases,":[53],"we":[54],"get":[55],"behaviour":[57],"similar":[58],"to":[59],"Zariski":[61],"algebraically":[64],"closed":[65],"fields.":[66]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
