Topology

Contents: Preface. 1. Introduction. 2. Fundamental group. 3. Modes of convergence. 4. Homology. 5. Cohomology. 6. Homotopy theory. 7. Geometric topology. 8. Topological space. 9. Compact space. 10. Covering space. 11. Metric space. 12. Perfect space. 13. Separation Axiom. Bibliography. index.
 
"In mathematics, Topology is a significant area, concerned with spatial properties that are preserved under continuous deformations of objects, for example, deformations that involve stretching, but no tearing or gluing. It emerged through the development of concepts from geometry and set theory, such as space, dimension, and transformation. Ideas, that are now classified as topological, were expressed as early as 1736, and towards the end of the 19th century, a distinct discipline developed, which was referred to as "geometry of place", and which later acquired the modern name of topology. The most basic and traditional division, within topology is point-set topology, which establishes the foundational aspects of topology and investigates various concepts.

Present book covers all dimensions of the subject, particularly aimed at the students, who intend to master in this field of Mathematics. This book is an asset for all scholars, researchers and students." (jacket)