2026-09-23T08:54:02Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/116076 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Stojanoska, Vesna Rezk, Charles Ando, Matthew Heller, Jeremiah 2022-08 application/pdf en text 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 On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3 Tatum, Elizabeth Ellen 2022-07-13 algebraic topology homotopy theory 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. Thesis eng https://hdl.handle.net/2142/116076 Copyright 2022 Elizabeth Tatum Ph.D. Dissertation Mathematics University of Illinois at Urbana-Champaign Mathematics