Uploaded April 2022 | Updated September 2026, 1 week ago

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Connectedness is a key idea in topology and metric spaces that describes whether a topological space can be separated into two components. This video explains the open set definition of connectedness and describes the topologist's sine curve as a non-example that motivates the definition of path-connectedness.

Topology playlist: youtube.com/playlist?list=PLug5ZIRrShJEGnUPxM1KUVOHkW4kN6QU_

Timestamps:
0:00 connectedness
9:59 path-connectedness

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Music: OcularNebula - The Lopez