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Some Computations in K(2)-Local Stable Homotopy Theory at the Prime 2

Posted on:2017-12-20Degree:Ph.DType:Dissertation
University:Northwestern UniversityCandidate:Egger, PhilipFull Text:PDF
GTID:1460390014458729Subject:Mathematics
Abstract/Summary:
common way of finding large-scale phenomena in the p-component of the stable homotopy groups of spheres requires finite CW-complexes in the stable category which admit vn -self-maps in the sense of Devinatz, Hopkins and Smith. Furthermore, it is desirable to find those CW-complexes which admit vn-self-maps whose periodicities are small. Finding these often requires difficult computations in homological algebra.;In joint work with Bhattacharya and Mahowald, we consider the case...
Keywords/Search Tags:Stable
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