metric-spaces

Metric Spaces Study Notes Metric Spaces Notes Definition 1.2.1 A nonempty set \( X \) with a map \( d: […]

Proof: An Open Sphere is an Open Set Proposition: In any metric space \((X, d)\), an open sphere is an

Proof: A Closed Sphere is a Closed Set Proposition: In any metric space \((X, d)\), a closed sphere is a