On a spectrum-level splitting of the BP<2>-cooperations algebra at primes larger than 3

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2022

Author dc:creator

• Tatum, Elizabeth Ellen

Contributors dc:contributor

• Stojanoska, Vesna
• Rezk, Charles
• Ando, Matthew
• Heller, Jeremiah

• algebraic topology
• homotopy theory

Statement dc:rights

• Copyright 2022 Elizabeth Tatum

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/116076

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F116076