Categories: History, basic and developments (original) (raw)

vii Acknowledgements viii Preface ix Bibliography 58 vi Abstract This project was an opportunity for the author to be introduced to the basic notions of Category Theory and their applications to Algebraic Topology during the early stages of the development of the theory. In terms of the basics, the notions of Category, Functor and Natural Transformation are introduced. Within this context, the process of formulation of various Homology and Cohomology groups in terms of Functors are examined. The notion of Adjoint Functors are also developed to some extent. Finally,