{"id":"https://openalex.org/W2085393160","doi":"https://doi.org/10.1215/00294527-1731362","title":"Mereology on Topological and Convergence Spaces","display_name":"Mereology on Topological and Convergence Spaces","publication_year":2012,"publication_date":"2012-12-14","ids":{"openalex":"https://openalex.org/W2085393160","doi":"https://doi.org/10.1215/00294527-1731362","mag":"2085393160"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-1731362","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1731362","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Mereology-on-Topological-and-Convergence-Spaces/10.1215/00294527-1731362.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Mereology-on-Topological-and-Convergence-Spaces/10.1215/00294527-1731362.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069618350","display_name":"Daniel R. Patten","orcid":null},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel R. Patten","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science Syracuse University Syracuse, New York 13244-4100 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science Syracuse University Syracuse, New York 13244-4100 USA","institution_ids":["https://openalex.org/I70983195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069618350"],"corresponding_institution_ids":["https://openalex.org/I70983195"],"apc_list":null,"apc_paid":null,"fwci":0.337,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62536127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"54","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9861999750137329,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9861999750137329,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9850000143051147,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9562000036239624,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mereology","display_name":"Mereology","score":0.9591066837310791},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6171138286590576},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.6085006594657898},{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.5840811729431152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5698262453079224},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5133091807365417},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.46884381771087646},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4592871367931366},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.44762158393859863},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43347764015197754},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4192425012588501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27439427375793457},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18234533071517944},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1514790654182434},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.10012763738632202},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0653168261051178}],"concepts":[{"id":"https://openalex.org/C152385842","wikidata":"https://www.wikidata.org/wiki/Q1194916","display_name":"Mereology","level":2,"score":0.9591066837310791},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6171138286590576},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6085006594657898},{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.5840811729431152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5698262453079224},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5133091807365417},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.46884381771087646},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4592871367931366},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.44762158393859863},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43347764015197754},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4192425012588501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27439427375793457},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18234533071517944},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1514790654182434},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.10012763738632202},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0653168261051178},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1215/00294527-1731362","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1731362","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Mereology-on-Topological-and-Convergence-Spaces/10.1215/00294527-1731362.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1355494520","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1355494520","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"}],"best_oa_location":{"id":"doi:10.1215/00294527-1731362","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-1731362","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-1/Mereology-on-Topological-and-Convergence-Spaces/10.1215/00294527-1731362.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2085393160.pdf","grobid_xml":"https://content.openalex.org/works/W2085393160.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W852874","https://openalex.org/W203178763","https://openalex.org/W606831423","https://openalex.org/W616404084","https://openalex.org/W629721292","https://openalex.org/W1497811828","https://openalex.org/W1566079662","https://openalex.org/W1570973162","https://openalex.org/W1971720730","https://openalex.org/W1980825685","https://openalex.org/W2053967911","https://openalex.org/W2067145053","https://openalex.org/W3175312018","https://openalex.org/W4245795624"],"related_works":["https://openalex.org/W2476701396","https://openalex.org/W2315326283","https://openalex.org/W3049598798","https://openalex.org/W4388117430","https://openalex.org/W2500335603","https://openalex.org/W2504487237","https://openalex.org/W2487719701","https://openalex.org/W2029012782","https://openalex.org/W4362730653","https://openalex.org/W2242030523"],"abstract_inverted_index":{"We":[0,35],"show":[1],"that":[2,13],"a":[3,14,30],"standard":[4],"axiomatization":[5],"of":[6,23,32,44],"mereology":[7,26],"is":[8,17,27],"equivalent":[9],"to":[10,39],"the":[11,40],"condition":[12],"topological":[15],"space":[16],"discrete,":[18],"and":[19],"consequently,":[20],"any":[21],"model":[22,31],"general":[24],"extensional":[25],"indistinguishable":[28],"from":[29],"set":[33],"theory.":[34],"generalize":[36],"these":[37],"results":[38],"Cartesian":[41],"closed":[42],"category":[43],"convergence":[45],"spaces.":[46]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
