After introducing open and closed balls, we showed that all open sets are unions of open balls and that boundary, closure and interior can be identified using open balls. We showed that balls in normed linear spaces are all convex and balanced and that, in any given space, they all have the same shape.
CITATION STYLE
Balls. (2006). In Metric Spaces (pp. 71–82). Springer London. https://doi.org/10.1007/978-1-84628-627-8_5
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