Source: wikibot/semi-locally-simply-connected
= Semi-locally simply connected
{wiki=Semi-locally_simply_connected}
In topology, a space is said to be **semi-locally simply connected** if, for every point in the space, there exists a neighborhood around that point in which every loop (i.e., a continuous map from the unit circle \\( S^1 \\) to the space) can be contracted to a point within that neighborhood, provided the loop is sufficiently small.