Topic: Compactness

Continuous Images of Compact Sets

Proof Continuous Images of Compact Sets Are Compact

Sequential Characterization of Compactness

Bolzano-Weierstrass and Compactness

Sequential Compactness

Proof That Compact Sets Are Sequentially Compact

Compactness and Sequences

Closed and Bounded Sets

Why Boundedness Is Necessary

Proof of Heine-Borel