Back Lokal zusammenhängender Raum German Espacio localmente conexo Spanish Lokaalisti yhtenäinen avaruus Finnish Espace localement connexe French מרחב קשיר מקומית HE 局所連結空間 Japanese 국소 연결 공간 Korean Przestrzeń lokalnie spójna Polish Локально связное пространство Russian Локально зв'язаний простір Ukrainian
In topology and other branches of mathematics, a topological space X is locally connected if every point admits a neighbourhood basis consisting of open connected sets.
As a stronger notion, the space X is locally path connected if every point admits a neighbourhood basis consisting of open path connected sets.
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