{"id":"https://openalex.org/W2005129656","doi":"https://doi.org/10.3318/pria.2008.108.2.137","title":"SUBMAXIMAL AND SPECTRAL SPACES","display_name":"SUBMAXIMAL AND SPECTRAL SPACES","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2005129656","doi":"https://doi.org/10.3318/pria.2008.108.2.137","mag":"2005129656"},"language":"en","primary_location":{"id":"doi:10.3318/pria.2008.108.2.137","doi":"https://doi.org/10.3318/pria.2008.108.2.137","is_oa":false,"landing_page_url":"https://doi.org/10.3318/pria.2008.108.2.137","pdf_url":null,"source":{"id":"https://openalex.org/S4210188988","display_name":"Mathematical Proceedings of the Royal Irish Academy","issn_l":"1393-7197","issn":["1393-7197","2009-0021"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310315400","host_organization_name":"Royal Irish Academy","host_organization_lineage":["https://openalex.org/P4310315400"],"host_organization_lineage_names":["Royal Irish Academy"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Proceedings of the Royal Irish Academy","raw_type":"journal-article"},"volume":null,"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/A5103641831","display_name":"M. E. Adams","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. E. Adams","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062480732","display_name":"Karim Bela\u00efd","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karim Belaid","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079539512","display_name":"Lobna Dridi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lobna Dridi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055224616","display_name":"Othman Echi","orcid":"https://orcid.org/0000-0002-0082-7644","observed_orcids":["https://orcid.org/0000-0002-0082-7644"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Othman Echi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4672,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62711731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"108","issue":"2","first_page":"137","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9872999787330627,"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":0.9872999787330627,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.004000000189989805,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.0010000000474974513,"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/spectral-spaces","display_name":"spectral spaces","score":0.9779999852180481},{"id":"https://openalex.org/keywords/stone-spaces","display_name":"Stone spaces","score":0.8659999966621399},{"id":"https://openalex.org/keywords/dense-subsets","display_name":"dense sets","score":0.8679999709129333},{"id":"https://openalex.org/keywords/open-dense-sets","display_name":"open dense sets","score":0.6589999794960022},{"id":"https://openalex.org/keywords/topological-space","display_name":"topological spaces","score":0.6489999890327454}],"concepts":[{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6000199317932129},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5518848299980164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4305083155632019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42544111609458923},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.41103631258010864},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39654138684272766},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3825470805168152},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2204625904560089},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1596643626689911},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3318/pria.2008.108.2.137","doi":"https://doi.org/10.3318/pria.2008.108.2.137","is_oa":false,"landing_page_url":"https://doi.org/10.3318/pria.2008.108.2.137","pdf_url":null,"source":{"id":"https://openalex.org/S4210188988","display_name":"Mathematical Proceedings of the Royal Irish Academy","issn_l":"1393-7197","issn":["1393-7197","2009-0021"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310315400","host_organization_name":"Royal Irish Academy","host_organization_lineage":["https://openalex.org/P4310315400"],"host_organization_lineage_names":["Royal Irish Academy"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Proceedings of the Royal Irish Academy","raw_type":"journal-article"},{"id":"pmh:oai:muse.jhu.edu:/article/811115","doi":null,"is_oa":false,"landing_page_url":"https://muse.jhu.edu/article/811115","pdf_url":null,"source":{"id":"https://openalex.org/S4377196299","display_name":"Project Muse (Johns Hopkins University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I145311948","host_organization_name":"Johns Hopkins University","host_organization_lineage":["https://openalex.org/I145311948"],"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:muse.jhu.edu:/article/811123","doi":null,"is_oa":false,"landing_page_url":"https://muse.jhu.edu/article/811123","pdf_url":null,"source":{"id":"https://openalex.org/S4377196299","display_name":"Project Muse (Johns Hopkins University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I145311948","host_organization_name":"Johns Hopkins University","host_organization_lineage":["https://openalex.org/I145311948"],"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":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.6100000143051147,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1963725929","https://openalex.org/W1964914154","https://openalex.org/W2029812885","https://openalex.org/W2049361924","https://openalex.org/W2051396251","https://openalex.org/W2082077150","https://openalex.org/W2084887209","https://openalex.org/W2094289785","https://openalex.org/W2141010928","https://openalex.org/W2322488892","https://openalex.org/W2784210455","https://openalex.org/W2796836074","https://openalex.org/W3026634432","https://openalex.org/W3166443039","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4309710663","https://openalex.org/W2116865742","https://openalex.org/W2081579710","https://openalex.org/W4297988921","https://openalex.org/W2371641196","https://openalex.org/W2000850197","https://openalex.org/W2367065563","https://openalex.org/W2049548111","https://openalex.org/W2038905316","https://openalex.org/W2980021896"],"abstract_inverted_index":{"A":[0],"topological":[1],"space":[2],"X":[3,14],"is":[4,15],"said":[5],"to":[6],"be":[7],"submaximal":[8,22,27],"if":[9],"every":[10],"dense":[11],"subset":[12],"of":[13,21,36],"open.":[16],"In":[17],"this":[18,32],"paper,":[19],"descriptions":[20],"spectral":[23],"spaces":[24,28],"and":[25],"Stone":[26],"are":[29,39],"given.":[30,40],"Throughout":[31],"paper":[33],"a":[34],"number":[35],"illustrative":[37],"examples":[38]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
