- E17
[0PJ] Topics:interior.Prerequisites:[0P3],[0PD].
Given \(X\) metric space and \(A⊆ X\), show that
\[ {{A}^\circ } = {{\left({{A}^\circ }\right)}^\circ }~ ~ , \]using the above definitions.
For what has been said in [0PB], this is equivalent to saying that \({{A}^\circ }\) is an open set.
(For the case of \(X\) topological space, see the [0GF])
Solution 1
EDB — 0PJ
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English
Authors:
"Mennucci , Andrea C. G."
.
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- accumulation point, in metric spaces
- topology, in metric spaces
- interior
- metric space
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