This book explains the following topics:
Basic concepts, Constructing topologies, Connectedness, Separation axioms and
the Hausdorff property, Compactness and its relatives, Quotient spaces, Homotopy,
The fundamental group and some application, Covering spaces and Classification
of covering space.
This note covers the following
topics: Topological spaces, metric spaces, Topological properties, Subspaces,
Compactness, Compact metric spaces, Connectedness, Connected subsets of the real
line.