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3 COMPACTNESS

In this chapter, we will study a property of topological spaces known as compactness. There are various characterizations of compactness.
Here will define compactness in term of what are known as open coverings. There are certain families of open sets in a topological space.

3.1 Definition and Examples of Compact Spaces
3.2 The Heine-Borel Theorem
3.3 Practice Problems

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