Open set
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Beschrijving
Bol
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The concept of an open set is fundamental to many areas of mathematics, especially including point-set topology and metric topology. Intuitively speaking (see below for a more intuitive discussion), a set U is open if any point x in U can be moved by a small amount in any direction and still be in the set U. The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Concepts that use notions of nearness, such as the continuity of functions, can be translated into the language open sets.
Beschrijving
(2)
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The concept of an open set is fundamental to many areas of mathematics, especially including point-set topology and metric topology. Intuitively speaking (see below for a more intuitive discussion), a set U is open if any point x in U can be moved by a small amount in any direction and still be in the set U. The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Concepts that use notions of nearness, such as the continuity of functions, can be translated into the language open sets.
AmazonPagina's: 84, Paperback, Betascript Publishers
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