Geometry in the non-Abelian resolution of the unstable Adams spectral sequence.

Title: Geometry in the non-Abelian resolution of the unstable Adams spectral sequence.
Identifier: AAI9325067
identifier: 9325067
Creator: Baker, William J.
Contributor: Adviser: Martin Bendersky
Date: 1993
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: The use of the Adams spectral sequence in the study of stable homotopy groups, is usually done in the category of spectra using iterated push outs, in contrast the unstable Adams spectral sequence, which can be used to obtain information about unstable homotopy groups was originally developed in the category of semi-simplicial sets, or using the infinite telescope associated to a spectrum, and iterated pullbacks, this method has been developed by M. Bendersky.;The theme or inspiration of this treatise is to obtain a map from pullbacks to push outs, which will allow one to view a resolution of the unstable Adams spectral sequence as the homotopy group of push outs instead of pullbacks and thus treat the unstable situation in much the same manner as the stable case. The hope is this will provide new insights into this construction.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.

Media: Geometry in the non-Abelian resolution of the unstable Adams spectral sequence.