An **adherent point** is a concept in topology, a branch of mathematics. In the context of a topological space, an adherent point (or limit point) of a set refers to a point that is either in the set itself or is a limit point of that set.
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An adherent point of is a point whose every neighbourhood meets . The set of adherent points is the closure of . This includes all points of , even isolated ones; a limit point in the accumulation-point convention instead requires each neighbourhood to meet .