This book provides an accessible introduction to algebraic topology a field at the
intersection of topology geometry and algebra together with its applications. Moreover it
covers several related topics that are in fact important in the overall scheme of algebraic
topology. Comprising eighteen chapters and two appendices the book integrates various concepts
of algebraic topology supported by examples exercises applications and historical notes.
Primarily intended as a textbook the book o ers a valuable resource for undergraduate
postgraduate and advanced mathematics students alike.Focusing more on the geometric than on
algebraic aspects of the subject as well as its natural development the book conveys the
basic language of modern algebraic topology by exploring homotopy homology and cohomology
theories and examines a variety of spaces: spheres projective spaces classical groups and
their quotient spaces function spaces polyhedra topological groups Lie groups and cell
complexes etc. The book studies a variety of maps which are continuous functions between
spaces. It also reveals the importance of algebraic topology in contemporary mathematics
theoretical physics computer science chemistry economics and the biological and medical
sciences and encourages students to engage in further study.
