When we work in ℝ with the usual metric, we think of distance as measured by absolute value. Points are close when the absolute value of the difference is small.
CITATION STYLE
Daepp, U., & Gorkin, P. (2011). Getting to Know Open and Closed Sets (pp. 289–300). https://doi.org/10.1007/978-1-4419-9479-0_26
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