Let $\left(X, \tau\right)$ be a topological vector space. What is the definition of the closed unit ball in $X$?
2026-03-26 19:15:49.1774552549
Unit ball in Topological vector space
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You cannot define a ball without a metric (or norm). If we have one, say a metric $d$ that induces $\tau$, we mean $\{x \in X: d(x,0) \le 1\}$.