Topic: Local Connectedness

Path-Connected Neighborhood Bases

Path Components and Components

Open Subspaces of Locally Path-Connected Spaces

Open Subspaces of Locally Connected Spaces

Open Path Components in Locally Path-Connected Spaces

Locally Path-Connected Neighborhoods

Local Connectedness Characterized by Open Components

Local Connectedness and Connected Neighborhoods

Examples and Tests for Local Connectedness

Connected Open Sets in Euclidean Space