{"id":"https://openalex.org/W2405368917","doi":null,"title":"Cohomology operations on random spaces","display_name":"Cohomology operations on random spaces","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2405368917","mag":"2405368917"},"language":"en","primary_location":{"id":"pmh:oai:digitalcommons.wayne.edu:oa_dissertations-2499","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.wayne.edu/oa_dissertations/1500","pdf_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=2499&context=oa_dissertations","source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wayne State University Dissertations","raw_type":"dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=2499&context=oa_dissertations","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044612323","display_name":"Matthew Zabka","orcid":"https://orcid.org/0000-0002-2772-2498","observed_orcids":["https://orcid.org/0000-0002-2772-2498"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Matthew Zabka","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2772-2498","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5044612323"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.7445999979972839,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.7445999979972839,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.24940000474452972,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.0010999999940395355,"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/cohomology-operations","display_name":"cohomology operations","score":0.984000027179718},{"id":"https://openalex.org/keywords/asymptotic-properties","display_name":"asymptotic properties","score":0.7519999742507935},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"topological data analysis","score":0.843999981880188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4218350946903229},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38174793124198914}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:digitalcommons.wayne.edu:oa_dissertations-2499","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.wayne.edu/oa_dissertations/1500","pdf_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=2499&context=oa_dissertations","source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wayne State University Dissertations","raw_type":"dissertation"},{"id":"mag:2405368917","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=2499&context=oa_dissertations","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:digitalcommons.wayne.edu:oa_dissertations-2499","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.wayne.edu/oa_dissertations/1500","pdf_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=2499&context=oa_dissertations","source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wayne State University Dissertations","raw_type":"dissertation"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2405368917.pdf","grobid_xml":"https://content.openalex.org/works/W2405368917.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W630423399","https://openalex.org/W1492288577","https://openalex.org/W1607787316","https://openalex.org/W1607948671","https://openalex.org/W2097040817","https://openalex.org/W2120023453","https://openalex.org/W2905110430","https://openalex.org/W3040586665"],"related_works":["https://openalex.org/W2404582960","https://openalex.org/W2279076491","https://openalex.org/W4401391290","https://openalex.org/W7097859128","https://openalex.org/W2789553918","https://openalex.org/W4253683578","https://openalex.org/W1607948671","https://openalex.org/W2355431201","https://openalex.org/W4229810469","https://openalex.org/W2308643536"],"abstract_inverted_index":{"Topology":[0],"has":[1,48],"recently":[2],"received":[3],"more":[4],"attention":[5],"from":[6],"statisticians":[7],"as":[8],"some":[9,41,91,118],"its":[10],"tools":[11,81],"have":[12],"been":[13],"applied":[14],"to":[15,52],"understanding":[16,63],"the":[17,44,65,80,96,121,132],"shape":[18],"of":[19,43,64,68,77,82,99,124,134],"data.":[20,45,58],"In":[21],"particular,":[22],"a":[23,28,87,100,135,140],"data":[24,88],"set":[25],"can":[26,36],"generate":[27],"topological":[29,34],"space,":[30,102],"and":[31,130],"this":[32],"space\u2019s":[33],"structure":[35,98],"give":[37],"us":[38,85],"insight":[39],"into":[40],"properties":[42,67,123],"This":[46,115],"framework":[47],"made":[49],"it":[50],"necessary":[51],"study":[53],"random":[54,69,101,113,128,136],"spaces":[55,129],"generated":[56],"by":[57],"For":[59],"example,":[60],"without":[61],"an":[62],"probabilistic":[66],"spaces,":[70],"one":[71],"cannot":[72],"conclude":[73],"with":[74],"any":[75],"degree":[76],"confidence":[78],"what":[79],"topology":[83],"tell":[84],"about":[86,95,107,120],"set.":[89],"While":[90],"results":[92,119],"are":[93],"known":[94,106],"cohomological":[97],"not":[103],"much":[104],"is":[105],"how":[108],"cohomology":[109,125],"operations":[110,126],"behave":[111],"on":[112,127],"spaces.":[114],"dissertation":[116],"proves":[117],"asymptotic":[122],"discusses":[131],"idea":[133],"Bockstein":[137],"operation":[138],"in":[139],"related":[141],"purely":[142],"algebraic":[143],"context.":[144]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
