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 3h accepted Simplest way to prove that $e^{ix}$ is an open mapping into $S^1$ 1d comment Simplest way to prove that $e^{ix}$ is an open mapping into $S^1$ how do you choose the $V$ exactly? 2d asked Simplest way to prove that $e^{ix}$ is an open mapping into $S^1$ Feb17 accepted The free group given by $\langle a,b:a^2=b^3=e\rangle$ is not abelian. Feb17 comment The free group given by $\langle a,b:a^2=b^3=e\rangle$ is not abelian. @StevenStadnicki Good, So you add another relation to get the $S_3$ and if $G$ were abelian then $S_3$ would be abelian as well after applying the 4th isomorphism theorem. Great, Could you make your comment an answer? Feb16 asked The free group given by $\langle a,b:a^2=b^3=e\rangle$ is not abelian. Feb13 awarded Yearling Jan29 comment Sequence in an uncountable set of real numbers @OohAah I see there is a slight difference, but if one changes $B\cap S\text{ is countable}$ by $B\cap S=\{x\}$, isn't the proof the same as Brian's? :) Jan29 comment Sequence in an uncountable set of real numbers @OohAah In this question math.stackexchange.com/questions/310113/… Brian M. Scott actually proves something so much better. Jan29 comment Sequence in an uncountable set of real numbers @OohAah I see it now, I just have to prove that the set of limit points of $A$ is uncountable. Jan29 comment Sequence in an uncountable set of real numbers @OohAah It has to be injective Jan29 asked Sequence in an uncountable set of real numbers Jan27 comment Measurability Question? Just to be clear, we are assuming each $f_n:X\to \mathbb{R}$? Jan27 comment Can every polynomial be factored into constant and linear complex factors? isn't it $b_i\in \mathbb{C}$? Jan27 answered Let $A$ be any subset of $\mathbb R^{+}$ , then there exist a metric space $(X,d)$ such that $d:X \times X \to A \cup \{0\}$ is a surjection? Jan27 comment Functions and continuity proof in real analysis Write the proof. Jan27 comment Trouble showing spans of two bases are equivalent You should write down the reasoning. Jan27 comment Classifying groups of order 60 I don't like where you used presentations and relations, IMHO that's more advanced and it's not treated properly in Dummit and Foote's book. I also remember giving up on this exercise. Jan27 comment How to calculate the sum of a general series @Gabriel Yeah, of course. Jan27 answered Trouble showing spans of two bases are equivalent