{"id":"https://openalex.org/W1608708628","doi":"https://doi.org/10.1007/11828563_9","title":"Topological Representation of Contact Lattices","display_name":"Topological Representation of Contact Lattices","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1608708628","doi":"https://doi.org/10.1007/11828563_9","mag":"1608708628"},"language":"en","primary_location":{"id":"doi:10.1007/11828563_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11828563_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5062553445","display_name":"Ivo D\u00fcntsch","orcid":"https://orcid.org/0000-0001-8907-2382"},"institutions":[{"id":"https://openalex.org/I186803428","display_name":"Brock University","ror":"https://ror.org/056am2717","country_code":"CA","type":"education","lineage":["https://openalex.org/I186803428"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ivo D\u00fcntsch","raw_affiliation_strings":["Department of Computer Science, Brock University, St. Catharines, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brock University, St. Catharines, ON, Canada","institution_ids":["https://openalex.org/I186803428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013451717","display_name":"Wendy MacCaull","orcid":null},"institutions":[{"id":"https://openalex.org/I197191942","display_name":"St. Francis Xavier University","ror":"https://ror.org/01wcaxs37","country_code":"CA","type":"education","lineage":["https://openalex.org/I197191942"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Wendy MacCaull","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, NS, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, NS, Canada","institution_ids":["https://openalex.org/I197191942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076246494","display_name":"Dimiter Vakarelov","orcid":null},"institutions":[{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Dimiter Vakarelov","raw_affiliation_strings":["Department of Mathematical Logic, Sofia University, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Logic, Sofia University, Sofia, Bulgaria","institution_ids":["https://openalex.org/I58918642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063657067","display_name":"Michael Winter","orcid":"https://orcid.org/0000-0003-0847-0448"},"institutions":[{"id":"https://openalex.org/I186803428","display_name":"Brock University","ror":"https://ror.org/056am2717","country_code":"CA","type":"education","lineage":["https://openalex.org/I186803428"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael Winter","raw_affiliation_strings":["Department of Computer Science, Brock University, St. Catharines, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brock University, St. Catharines, ON, Canada","institution_ids":["https://openalex.org/I186803428"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062553445"],"corresponding_institution_ids":["https://openalex.org/I186803428"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0843,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85961732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"135","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9836999773979187,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9757999777793884,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/boolean-algebra","display_name":"Boolean algebra","score":0.5435497760772705},{"id":"https://openalex.org/keywords/relation-algebra","display_name":"Relation algebra","score":0.5241725444793701},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5186821222305298},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5039100050926208},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.501533031463623},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.4925692677497864},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47353121638298035},{"id":"https://openalex.org/keywords/free-boolean-algebra","display_name":"Free Boolean algebra","score":0.46334561705589294},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.45897334814071655},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.44789183139801025},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4461277723312378},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4424925148487091},{"id":"https://openalex.org/keywords/stones-representation-theorem-for-boolean-algebras","display_name":"Stone's representation theorem for Boolean algebras","score":0.4383406937122345},{"id":"https://openalex.org/keywords/complete-boolean-algebra","display_name":"Complete Boolean algebra","score":0.4356253147125244},{"id":"https://openalex.org/keywords/substructure","display_name":"Substructure","score":0.4300594627857208},{"id":"https://openalex.org/keywords/interior-algebra","display_name":"Interior algebra","score":0.42962849140167236},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4229656755924225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4107770621776581},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.3968566060066223},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.3497721552848816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31351420283317566},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.3114681839942932},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2906484603881836},{"id":"https://openalex.org/keywords/jordan-algebra","display_name":"Jordan algebra","score":0.1708892285823822}],"concepts":[{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.5435497760772705},{"id":"https://openalex.org/C10282146","wikidata":"https://www.wikidata.org/wiki/Q5965969","display_name":"Relation algebra","level":5,"score":0.5241725444793701},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5186821222305298},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5039100050926208},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.501533031463623},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.4925692677497864},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47353121638298035},{"id":"https://openalex.org/C188159880","wikidata":"https://www.wikidata.org/wiki/Q5499761","display_name":"Free Boolean algebra","level":5,"score":0.46334561705589294},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.45897334814071655},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.44789183139801025},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4461277723312378},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4424925148487091},{"id":"https://openalex.org/C10021369","wikidata":"https://www.wikidata.org/wiki/Q1166774","display_name":"Stone's representation theorem for Boolean algebras","level":5,"score":0.4383406937122345},{"id":"https://openalex.org/C81518389","wikidata":"https://www.wikidata.org/wiki/Q5156447","display_name":"Complete Boolean algebra","level":5,"score":0.4356253147125244},{"id":"https://openalex.org/C99679407","wikidata":"https://www.wikidata.org/wiki/Q56761637","display_name":"Substructure","level":2,"score":0.4300594627857208},{"id":"https://openalex.org/C203254541","wikidata":"https://www.wikidata.org/wiki/Q10894825","display_name":"Interior algebra","level":5,"score":0.42962849140167236},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4229656755924225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4107770621776581},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.3968566060066223},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.3497721552848816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31351420283317566},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.3114681839942932},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2906484603881836},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.1708892285823822},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11828563_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11828563_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.83.259","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.83.259","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cosc.brocku.ca/~duentsch/archive/replat.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4300000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W15321835","https://openalex.org/W1513735063","https://openalex.org/W1516447880","https://openalex.org/W1529894088","https://openalex.org/W1664281635","https://openalex.org/W1964754311","https://openalex.org/W1999627938","https://openalex.org/W2000873334","https://openalex.org/W2054275301","https://openalex.org/W2057923867","https://openalex.org/W2076716128","https://openalex.org/W2287405122","https://openalex.org/W2335542303","https://openalex.org/W3047122219","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2951697398","https://openalex.org/W2064128553","https://openalex.org/W4300190062","https://openalex.org/W2785885914","https://openalex.org/W1996944171","https://openalex.org/W4243997191","https://openalex.org/W2074343393","https://openalex.org/W2107908515","https://openalex.org/W1601573558","https://openalex.org/W1978278419"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"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"}