Semilocally simply connected space
This article defines a homotopy-invariant property of topological spaces, i.e. a property of homotopy classes of topological spaces
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Definition
Symbol-free definition
A topological space is said to be semilocally simply connected if every point in the space has an open neighbourhood such that the inclusion map from that neighbourhood to the whoel space induces a trivial mapping at the level of fundamental groups.