Topic: Path-Connected Spaces and Components

Path Components of the Topologist’s Sine Curve

Path Components Within Connected Components

Path Components as Equivalence Classes

Maximal Path-Connected Subsets

Endpoint Constraints and Constant Paths

Diagnosing Connectedness Without Path-Connectedness

Continuous Images of Path-Connected Spaces

Connectedness of the Topologist’s Sine Curve

Connected Components and Path Components

Computing Path Components by Constructing Paths