Date of Award


Degree Type


Degree Name

Doctor of Philosophy


Part 1 of this work is an application of the Dyer-Lashof Algebra modulo p, an odd prime, to the determination of the Steenrod annihilated indecomposables in the /p homology of the infinite loop space associated to a CW-complex.;Part 2 is concerned with the determination of the algebra struc- ture of K(,*)((OMEGA)('2)S('2n+1); /2) where K(,*)((,-); /2) stands for mod 2, periodic, reduced, complex K-homology theory. Moreover the Atiyah-Hirzebruch spectral sequence for K(,*)((OMEGA)('m)S('n)X; /2) is studied. The main tool in Part 2 are the mod 2 Dyer-Lashof operations acting on finite loop spaces, as well as the Atiyah-Hirzebruch spectral sequence for K-homology.



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