The Tychonoff property, also known as being Tychonoff or $T_3$, refers to a topological space where any two distinct points can be separated by neighborhoods that are disjoint from each other. This property is significant because it implies the space is both Hausdorff and regular, which enhances its structural quality. It establishes a foundation for the understanding of continuity and convergence within these spaces, making it essential in the study of separation axioms.
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