tychonoff space
A Tychonoff space is a topological space that is both compact and Hausdorff. Compactness ensures that every open cover has a finite subcover, while Hausdorffness provides separation of distinct points by disjoint open sets. The combination of these properties in a Tychonoff space ensures the existence of certain important properties, such as the Tychonoff theorem which states that the product of compact spaces is compact.
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