- E13
[0GJ] Topics:closure, interior. Let \(X\) be a topological space and \(A⊆ X\) open.
Show that \(A⊆ {{\left(\overline A\right)}^\circ }\) (the interior of the closure of \(A\)).
Find an example of an open set \(A⊂ℝ\) for which \(A≠ {{\left(\overline A\right)}^\circ }\).
Then formulate a similar statement for \(A\) closed, transitioning on to the complement.
Solution 1
EDB — 0GJ
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English
Authors:
"Mennucci , Andrea C. G."
.
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- space, topological
- topological space
- closure, and interior
- interior, and closure
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