(AL-Neelain University, 2014) ELHAM DAUOED HAMDOUN ADAM
The purpose of this project is to study topological spaces in terms of certain groups as~
sociated with them, these groups are topological invariants in the sense that isomorphic
groups are associated with hornomeomorphic spaces. We discuss two types of groups. The
homotopy group for the lower~dimension spaces and homology groups for higher-dimension
spaces. As an application of this study we present some computation of homotopy and
homology group and prove several theorems in algebra and analysis.
