Thomas E.
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 Jun 1 answered Prove the dominated convergence for $f_n(x)=\frac{x^n}{x^2+3x+2}$ Jun 1 answered If $\left| \frac{z-i}{z-1}\right| = \sqrt2$ and $|z| = \sqrt 5$ and $Im(z)<0$, find $Im(z)$, $Re(z)$ Jun 1 revised Cardinality of the collection of all compact metric spaces added tags Jun 1 revised Vitali set of outer-measure exactly $1$. added tags Jun 1 revised A problem on properties of Hausdorff space added 35 characters in body Jun 1 revised Show that $\mathbb{R}^m$ is not homeomorphic to $\mathbb{R}^n$ edited tags Jun 1 revised Show that $\mathbb{R}^m$ is not homeomorphic to $\mathbb{R}^n$ added 35 characters in body Jun 1 comment Show that $\mathbb{R}^m$ is not homeomorphic to $\mathbb{R}^n$ @NoahOlander: True. I'll make that clear. Thanks. May 31 answered Topologies conceptual confusion (topology of maximum norm/of pointwise convergence) May 29 revised Help understanding $T_1$ & $T_2$ spaces. Some grammar, and one mathematical detail edited May 29 comment What interpretation of the Lie braket is this? What is the definition of $\frac{\delta}{\delta x}$? May 29 answered Solving for a three dimensional vector. May 29 awarded Mortarboard May 29 answered Show that $\mathbb{R}^m$ is not homeomorphic to $\mathbb{R}^n$ May 29 comment Are these two definitions of basis equivalent? @xhimi: The set $\beta$ belongs to $B$ which is by assumption a sub collection of $T$. May 28 answered Here are two fractions, $\frac{2}{3}$,$\frac{7}{8}$, which of these fractions are closer to $\frac{3}{4}$? May 28 revised A question about the contractibility of the Sierpinski space edited tags May 28 comment The terminology for particular subsets of the power set of R The way you defined $X$ it follows that $X=\emptyset$, because for any $x\in\mathbb{R}$ there exists $a\in\mathbb{R}$ with $x\geq a$. May 28 comment Suppose a continuous function $f:\mathbb{R} \rightarrow \mathbb{R}$ is nowhere monotone. Show that there exists a local minimum for each interval. Definition of nowhere monotone? May 28 revised Determining if $\int f_n\to 0$ implies that $f_n\to 0$ in measure and $f_n(x)\to 0$ a.e. edited tags