Date of Award


Degree Name

Master of Arts



First Advisor

Dr. Jeffrey Strom

Second Advisor

Dr.John R. Martino

Third Advisor

Dr. Gene Freudenburg

Fourth Advisor

Dr. Nicholas Scoville


CUP-Products, cofibers, Moore Spaces, Hopf invariant, L-S category

Access Setting

Masters Thesis-Open Access


In this thesis we make a detailed investigation of the cohomology rings of the cofibers Cβ of Moore spaces of dimension 2 by computing the cup products in cofibers and to do so we prove that the Hopf invariant in case of Moore spaces in the zero and nonzero homomorphism case is a homomorphism. We have shown when is 𝓍r,k a Co-H-Map. We calculated the homologies and cohomologies of Moore spaces of dimension 2 and of the cofibers Cβ where β=𝓍r,k. We used Lusternik-Schnirelmann category to determine the complexity of Cβ.

Included in

Mathematics Commons