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 Mar14 awarded Yearling Mar11 revised Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. changed $l_0$ to $c_0$ Mar11 comment Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. you're right I mis-typed it, I'll fix. Mar11 accepted Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. Mar11 comment Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. damn that's slick. Mar11 revised Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. added 3 characters in body Mar11 asked Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. Jan29 revised Prove this matrix is invertible for $n < m-1$ added 1 characters in body Jan29 accepted Prove this matrix is invertible for $n < m-1$ Jan29 comment Prove this matrix is invertible for $n < m-1$ awesome answer, thanks. Jan29 revised Prove this matrix is invertible for $n < m-1$ [Edit removed during grace period] Jan29 revised Prove this matrix is invertible for $n < m-1$ deleted 8 characters in body Jan29 revised Prove this matrix is invertible for $n < m-1$ added 248 characters in body Jan29 revised Prove this matrix is invertible for $n < m-1$ deleted 72 characters in body Jan29 asked Prove this matrix is invertible for $n < m-1$ Dec29 awarded Popular Question Nov3 comment Singularities in (Elementary) Real Algebraic Geometry The cubic is $y^3+2y^2+y+(v-u^2)=0$, the roots will be $functions$ of $u$ and $v$, that's what I'm after, so that I can prove that $f(x,y)=(u(x,y),v(x,y))=(x,x^2-(y+1)^3+(y+1)^2)$ has an inverse which is analytic. Nov3 comment Singularities in (Elementary) Real Algebraic Geometry I'm having trouble understanding. Solving $v=f(u,y)$ for $y$ will give me 3 roots, each a function of $u$ and $v$, I should expect that one of these roots is a real analytic function in a nbhd of $(0,0)$, correct? Nov3 revised Singularities in (Elementary) Real Algebraic Geometry added 72 characters in body Nov3 revised Singularities in (Elementary) Real Algebraic Geometry added 1 characters in body