- E13
[2DK]Let \((X,π_ X)\) be a topological space, \(Yβ X\) the topological space with the induced topology
\[ π_ Y = \{ Aβ© Y: Aβ π_ X\} ~ . \]Fix \(Eβ Y\), consider these statements.
- (cX)
\(E\) is a connected set in the topological space \((X,π_ X)\);
- (cY)
\(E\) is a connected set in the topological space \((Y,π_ Y)\).
Are the two statements equivalent?
Solution 1
EDB β 2DK
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English
Authors:
"Mennucci , Andrea C. G."
.
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