Question
$X$ trage irgendeine, $Y$ die chaotische Topologie. Dann ist jede Abbildung $f: X \rightarrow Y$ stetig.
Step 1
Recall the definition of continuity: A function $f: X \rightarrow Y$ is continuous if for every open set $V$ in $Y$, the preimage $f^{-1}(V)$ is an open set in $X$. Show more…
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$f(x)=x[x]$ $f^{\prime}(x)=[x], x \in I$
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