Stone ech Compactification
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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 X. The Stone ech compactification X 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 X (in a unique way). If X is a Tychonoff space then the map from X to its image in X is a hom...
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 X. The Stone ech compactification X 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 X (in a unique way). If X is a Tychonoff space then the map from X to its image in X is a homeomorphism, so X can be thought of as a (dense) subspace of X. For general topological spaces X, the map from X to X need not be injective.
