Difficulty: Intermediate

Proof Continuous Images of Compact Sets Are Compact

Continuous Images of Compact Sets

Bolzano-Weierstrass and Compactness

Sequential Characterization of Compactness

Sequential Compactness

Proof That Compact Sets Are Sequentially Compact

Why Closedness Is Necessary

Compactness and Sequences

Closed and Bounded Sets

Why Boundedness Is Necessary