Homology operations in the spectral sequence of a cosimplicial space
Abstract
We construct operations in the homology spectral sequence of cosimplicial E-infinity and cosimplicial E-n spaces. This is accomplished by constructing external operations for certain universal examples which were introduced by Bousfield and Kan. By universality we then have external operations for any cosimplicial space and the E-n structure maps provide the internal operations. The main ingredient is a detailed computation of the spectral sequence associated to the homotopy orbit of the square of the Bousfield-Kan examples.
Degree
Ph.D.
Advisors
McClure, Purdue University.
Subject Area
Applied Mathematics|Mathematics
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