Assertion: metric space | /r/HasProperty | $x
Facets:
Source sentences:
text: So with every metric space $(X,d)$, we can associate a topological space $(
text: Instead, a metric space $(X, d)$, i.e., a non-empty set $X$ together with a function $d:X \times X \to
text: If I give you a metric space $(X, d)$ then there is a canonical topological space $(X, \mathcal{T})$ with the same underlying set $X$, called the induced topological space, whose topology is generated by the $\epsilon$-balls.