Topology of numbers
A topology of numbers Natural* Introduction Topology is one of the most modern branches of mathematics and its relationship with other areas of this science is fundamental. The study of topology focuses on qualitative properties and not on quantitative ones of mathematical objects, its extensive development has given rise to different areas, such as topology: algebraic, differential, sets, geometric. The present work belongs to the topology of sets. In the bibliography the reader will be able to find sources for each of these topics. The topology of a set Any set can be given a structure of topological space. To do this, it is enough to distinguish a family Ï„ of subsets of X, whose elements are given the name of open subsets of X. Such a family must satisfy the following three properties: a) the total space X and the empty set ∅ are in Ï„ ; b) the arbitrary union of elements in Ï„ is als...
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