Accumulation points, boundary points, interior points. How to recognize them? Description - examples

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Salvo Romeo

Published on Aug 19, 2022
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How to recognize and find the accumulation points, internal points and boundary points of a numerical set. Chapters: 01:12 Surrounding area of ​​a point and surrounding area of ​​infinity. 08:35 Internal point 19:16 Border point 32:10 Accumulation point The set of real numbers, in addition to an algebraic and order structure, also has a topological structure and to define some properties of these structures we started from the concept of surrounding area of ​​a point defined as any open interval containing the point itself. The concepts of right and left surrounding area of ​​a point have been defined (with attached examples), and the concept of surrounding area of ​​infinity. We will move on to the definition of internal point for a set that does not coincide at all with the concept of belonging to a numerical set, and then move on to the concept of border point and accumulation point, very important for the concepts of mathematical analysis, where these concepts will be widely used. Thanks to the frontier points, it will be possible to give a definition of a closed numerical set and an open numerical set. Not only will the definitions be given, but for each concept explained there will be examples #salvoromeo #accumulationpoints #frontierpoints

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