Course Outcome:

CO1: Learn the various problem-solving techniques used in Metric Spaces.
CO2: Understand the topology of Metric Spaces.
C03: Get a good understanding about Compact Metric Spaces.

1. Problem set on Open sets, Closed sets, Closure of a set.
2. Problem set on Cauchy Sequences and Completeness, Dense sets.
3. Problem set on Continuous functions, equivalent definition of continuity, Uniform Continuity.
4. Problem set on Compact Spaces 1.
5. Problem set on Compact Spaces 2.
6. Problem set on Compact Spaces 3.
7. Problem set on Connected spaces.
8. Problem set on Complete Metric Spaces.

1. S. Kumaresan, Topology of Metric Spaces, Wiley.