Stone Cech Compactification

Bol

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical discipline of general topology, Stone-¿ech compactification is a technique for constructing a universal map from a topological space X to a compact Hausdorff space ßX. The Stone-¿ech compactification ßX of a topological space X is the largest compact Hausdorff space "generated" by X, in the sense that any map from X to a compact Hausdorff space factors through ßX. If X is a Tychonoff space then the map from X to its image in ßX is a homeomorphism, so X can be thought of as a subspace of ßX. For general topological spaces X, the map from X to ßX need not be injective.

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Pagina's: 76, Paperback, Betascript Publishers