Locally simply connected space
ID: locally-simply-connected-space
A topological space is said to be **locally simply connected** if, for every point in the space and for every neighborhood of that point, there exists a smaller neighborhood that is simply connected. To unpack this definition: - A space is **simply connected** if it is path-connected and every loop (closed curve) in the space can be continuously shrunk to a point, without leaving the space.
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