It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An ...
https://doi.org/10.4169/amer.math.monthly.120.06.566 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.566 Abstract We construct an example of a monotonic ...
The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...
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