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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