Example
4
[2C1]To any given set \(X\) we may associate the discrete distance
\[ d(x,y) = \begin{cases} 0 & x=y\\ 1 & x\neq y \end{cases} \]
The induced topology is the discrete topology where every subset of \(X\) is an open set.
EDB β 2C1
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Authors:
"Mennucci , Andrea C. G."
.
Bibliography
Book index
Book index
- topology, discrete ---
- discrete, topology
- distance, discrete ---
- discrete, distance
- metric space
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