Def 13.2

𝐵𝛿(𝑥)={𝑦𝑑(𝑥,𝑦)𝛿}
closed 𝛿 ball around 𝑥
𝐵𝛿(𝑥)={𝑦𝑑(𝑥,𝑦)<𝛿}
open 𝛿 ball around 𝑥