Contents:

Chapter 1 Elements of set theory
Sets and Elements
Algebra of Sets
The power set
Problems 1
Chapter 2 Metric Spaces
Metrics on Sets
Open Balls and Open Sets
Neighbourhoods
Interior
Closed Sets
Closure
Subspaces
Problems
Chapter 3 Topological Spaces
Topological and Topological Spaces
Comparison of Topologies
Neighbourhoods
Bases and Sub bases
Closure
Interior
Frontier and Exterior
Subspaces
Relative Closure
Problems
Chapter 4 Continuity and Homeomorphism
Continuity in Metric Spaces
Continuity in Topological Spaces
Homeomorphism
Problems
Answers
Index