18-102s-th
Description:
A hierarchy of mathematical spaces: The inner product induces a norm. The norm induces a metric. The metric induces a topology.
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18-102s-th
Alt text:
Four nested, non-concentric circles representing topological space, metric spaces, normed, and inner product spaces.
Caption:
A hierarchy of mathematical spaces: The inner product induces a norm. The norm induces a metric. The metric induces a topology. (Image by Jhausauer,on Wikimedia Commons. Public domain.)
Credit:
Image by Jhausauer, on Wikimedia Commons. Public domain.
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