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In page Semi-locally simply connected:

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Most of the main theorems about covering spaces, including the existence of a universal cover and the Galois correspondence, require a space to be path-connected, locally path-connected, and semi-locally simply connected, a condition known as unloopable (délaçable in French).[1] In particular, this condition is necessary for a locally path-connected space to have a simply connected covering space.[citation needed]