A space is locally pathwise-connected if for every neighborhood around every point in , there is a smaller, pathwise-connected neighborhood.
Locally Pathwise-Connected
See also
Arcwise-Connected, Pathwise-ConnectedExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Locally Pathwise-Connected." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LocallyPathwise-Connected.html