Thomas E.
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 Jul 22 comment Hausdorff Measure By line do you mean a subset of $\mathbb{R}^{2}$ or an interval i.e. a subset of $\mathbb{R}$? The answer is different depending on what you mean. Jul 12 comment Proving a theorem from topology To me this looks like a definition rather than a theorem. Also, where is the proof that you can not follow? Jul 4 comment How to solve infinite repeating exponents @Matt. Dito. And even further, you may notice that $e^{\frac{ln(2)}{2}}=e^{ln(\sqrt{2})}=\sqrt{2}$. Jul 4 comment Not every metric is induced from a norm Did you mean instead that any metric not satisfying either of those can not come from a norm? And not the other way around? And also, these two conditions on the metric are sufficient to define a norm..? Jul 4 comment Contradiction! Any Symbol for? Where I live, it is standard (and literally everyone uses it) is the symbol $\lightning$. We don't use it on latex typing, but everything that goes on blackboard and personal notes etc. Jul 3 revised Is this space normal? edited the topic title and one sentence. Jul 3 suggested approved edit on Is this space normal? Jun 29 comment Question about proving something using reverse Fatou's lemma @madprob: You're right, thanks. And even though I wrote it there, I actually didn't use it in the proof. Indeed $\infty-\infty$ can never occur there as $\mu(g)<\infty$. Jun 29 revised Question about proving something using reverse Fatou's lemma took the integrability of $f_{n}$ out. Jun 28 comment bounded measurable function is the uniform limit of a sequence of simple functions The key point behind the uniform part of this statement lies in the boundedness of $f$. Jun 19 comment Difference between supremum and maximum @copper.hat: The two sentences seem to contradict each other. Correct me if I'm wrong, but first you say maximum is attained and supremum might not, and then you give an example where supremum is attained but maximum isn't. Maybe I misunderstood your point? Jun 19 comment Subset of $\mathbb{I}\cap [0,1]$ (irrationals in [0,1]) that is closed in $\mathbb{R}$ and has measure $\epsilon \in (0,1)$ In what text did you see this and what page? Jun 19 comment A simple question about open set @Mathematics \$B(-1,r)=\{x\in S:d(x,-1)