The Curtis-Wellington Spectral Sequence Through Cohomology

dc.contributor.advisorSinha, Dev
dc.contributor.authorHunter, Dana
dc.date.accessioned2022-10-04T19:44:46Z
dc.date.available2022-10-04T19:44:46Z
dc.date.issued2022-10-04
dc.description.abstractWe study stable homotopy through unstable methods applied to its representing infinite loop space, as pioneered by Curtis and Wellington. Using cohomology instead of homology, we find a width filtration whose subquotients are simple quotients of Dickson algebras. We make initial calculations and determine towers in the resulting width spectral sequence. We also make calculations related to the image of J and conjecture that it is captured exactly by the lowest filtration in the width spectral sequence.en_US
dc.identifier.urihttps://hdl.handle.net/1794/27625
dc.language.isoen_US
dc.publisherUniversity of Oregon
dc.rightsAll Rights Reserved.
dc.titleThe Curtis-Wellington Spectral Sequence Through Cohomology
dc.typeElectronic Thesis or Dissertation
thesis.degree.disciplineDepartment of Mathematics
thesis.degree.grantorUniversity of Oregon
thesis.degree.leveldoctoral
thesis.degree.namePh.D.

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