- E29
[0Q8] Prerequisites:[0PD],[0PP], [0GJ], [0P6].Difficulty:*.
Let
be a metric space, and . We want to study the ”open-close” operation (which is the closure of the interior of ).Show a simple example where
is not contained .Then write a characterization of
using sequences and balls.Use it to show that the ”open-close” operation is idempotent, that is, if
and then then .
Solution 1
EDB — 0Q8
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English
Authors:
"Mennucci , Andrea C. G."
.
Bibliography
Book index
Book index
- accumulation point, in metric spaces
- topology, in metric spaces
- metric space
- closure
- interior
- open-close
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