Punti di accumulazione, punti di frontiera , punti interni. Come riconoscerli ? Descrizione - esempi

How to recognize and find the accumulation points, interior points, and boundary points of a numerical set. Chapters: 01:12 Neighborhood of a Point and Neighborhood of Infinity. 08:35 Interior Point 19:16 Boundary Point 32:10 Accumulation Point The set of real numbers, in addition to an algebraic and order structure, also has a topological structure. To define some properties of these structures, we started from the concept of a neighborhood of a point, defined as any open interval containing the point itself. The concepts of right and left neighborhoods of a point, and the concept of a neighborhood of infinity, were defined (with accompanying examples). We will move on to the definition of an interior point for a set, which does not coincide at all with the concept of membership in a numerical set. We will then move on to the concepts of boundary points and accumulation points, which are very important for mathematical analysis, where these concepts will be used extensively. Thanks to boundary points, it will be possible to define a closed numerical set and an open numerical set. Not only will the definitions be provided, but there will also be examples for each concept explained. #salvoromeo #accumulationpoints #boundarypoints