Definition:Locally Arc-Connected Space

Definition

A topological space $T = \struct {S, \tau}$ is locally arc-connected if and only if it has a basis consisting entirely of arc-connected sets.

Also see

• Results about locally arc-connected spaces can be found here.

Sources

• 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $4$: Connectedness