Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
accumulation point
This term is a technical specification used primarily in mathematical analysis and topology. It describes a point where elements of a set cluster with increasing density, regardless of whether the point itself belongs to that set. It is a more precise concept than a simple limit, as it defines the local behavior of a set within a topological space.
In a pedagogical context, it is often contrasted with isolated points. While an isolated point has a neighborhood containing no other points of the set, an accumulation point is characterized by the impossibility of isolating it from the rest of the set. This distinction is critical for understanding the Bolzano-Weierstrass theorem and the compactness of sets.