Fréchet–Urysohn space

ID: frechet-urysohn-space

In topology, a Fréchet–Urysohn space is a type of topological space that has a specific property concerning its convergent sequences. A topological space \( X \) is said to be a Fréchet–Urysohn space if, whenever a subset \( A \subseteq X \) is a limit point of a point \( x \in X \), there exists a sequence of points in \( A \) that converges to \( x \).

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