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edit approved May 18, 2016 at 0:23
Martin Sleziak
edit approved May 18, 2016 at 0:23
Martin Sleziak
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When is the graph of a function a dense set  ?

Let f: R -> R$f: \mathbb R \to \mathbb R$ be any function. When is the graph of f$f$ dense in R^2 $\mathbb R^2$? 
The only examples I know for this are for non-measurable functions, but is that a necessary condition  ?

When is the graph of a function a dense set  ?

Let f: R -> R be any function. When is the graph of f dense in R^2 ? The only examples I know for this are for non-measurable functions, but is that a necessary condition  ?

When is the graph of a function a dense set?

Let $f: \mathbb R \to \mathbb R$ be any function. When is the graph of $f$ dense in $\mathbb R^2$? 
The only examples I know for this are for non-measurable functions, but is that a necessary condition?

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Anindya
Anindya
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When is the graph of a function a dense set ?

Let f: R -> R be any function. When is the graph of f dense in R^2 ? The only examples I know for this are for non-measurable functions, but is that a necessary condition ?