MT306 - Topology I
Sorry !. MT306 not offered in current semester.
Credits: 3 Credits
Metric Spaces: Basic examples, open and closed sets, continuous functions on metric spaces, sequences and convergence in metric spaces, complete metric spaces, normed linear spaces and inner product spaces, topology of R^n Topological Spaces: Examples, neighborhood axioms, bases and sub-bases, sub-space topology, products and quotients of spaces, closed sets and limit points, continuous functions and homeomorphisms. Topological Properties: Compactness, connectedness, path connectedness, local connectedness and local compactness, countability, separation axioms, local finiteness and paracompactness. Introductory Algebraic Topology: Homotopy of paths, the fundamental group of a space.