{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/116076"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/116076","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","abstract_html":"Submission published under a 24 month embargo labeled &#x27;U of I Access&#x27;, the embargo will last until 2024-08-01","abstract_has_math":false,"creators":["Tatum, Elizabeth Ellen"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Stojanoska, Vesna","Rezk, Charles","Ando, Matthew","Heller, Jeremiah"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-08","date_published":"2022-08","updated_at":"2026-07-22T22:24:55Z","subjects":["algebraic topology","homotopy theory"],"languages":["en","eng"],"rights":["Copyright 2022 Elizabeth Tatum"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/116076","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stojanoska, Vesna","Rezk, Charles","Ando, Matthew","Heller, Jeremiah"]},{"key":"dc:creator","label":"Author","values":["Tatum, Elizabeth Ellen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2022-08","2022-07-13"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["algebraic topology","homotopy theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2022 Elizabeth Tatum"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/116076"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","The student, Elizabeth Tatum, accepted the attached license on 2022-07-13 at 09:11.","The student, Elizabeth Tatum, submitted this Dissertation for approval on 2022-07-13 at 09:22.","This Dissertation was approved for publication on 2022-07-13 at 16:19.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18039 on 2022-11-15 at 21:39:41","In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct spectrum-level splittings of the bo- and BP<1>-cooperations algebras. These splittings helped make it feasible to do computations using the bo- and BP<1>-based Adams spectral sequences. In this thesis, we construct an analogous splitting for the BP<2>-cooperations algebra at primes larger than 3."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3"]}]}],"canonical_facts":{"dc:contributor":["Stojanoska, Vesna","Rezk, Charles","Ando, Matthew","Heller, Jeremiah"],"dc:creator":["Tatum, Elizabeth Ellen"],"dc:date":["2022-08","2022-07-13"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","The student, Elizabeth Tatum, accepted the attached license on 2022-07-13 at 09:11.","The student, Elizabeth Tatum, submitted this Dissertation for approval on 2022-07-13 at 09:22.","This Dissertation was approved for publication on 2022-07-13 at 16:19.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18039 on 2022-11-15 at 21:39:41","In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct spectrum-level splittings of the bo- and BP<1>-cooperations algebras. These splittings helped make it feasible to do computations using the bo- and BP<1>-based Adams spectral sequences. In this thesis, we construct an analogous splitting for the BP<2>-cooperations algebra at primes larger than 3."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/116076"],"dc:language":["en","eng"],"dc:rights":["Copyright 2022 Elizabeth Tatum"],"dc:subject":["algebraic topology","homotopy theory"],"dc:title":["On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:55Z"}