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Localizations of E-Theory and Transchromatic Phenomena in Stable Homotopy Theory

Description:

homotopy theory studies a parametrization of stable homotopy theory in terms of algebraic objects called formal groups. Transchromatic homotopy theory is specifically concerned with the behavior of spaces and cohomology theories as these formal groups change in height. We pursue a central transchromatic object, the K(n − 1)- localization of...

Keyword:

chromatic homotopy theory, formal groups, Morava E-theory, Bousfield localization, algebraic topology, and structured ring spectra

Subject:

Mathematics

Creator:

Paul Behrents VanKoughnett

Owner:

Scholarly Digital Publishing

Date Uploaded:

04/01/2019

Date Modified:

04/01/2019

Date Created:

2018-01-01

Resource Type:

Dissertation

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Localizations of E-Theory and Transchromatic Phenomena in Stable Homotopy Theory