All Questions

Is there any resource that might help non-experts gains some understanding of why the Kervaire invariant problem remains open now only in dimension $126$? ($126 =2^7-2=2^{j+1}-2$; whether $\theta_j=\...

$\newcommand{\RR}{\mathbb{R}}$The present question arises from some confusion on my part regarding the precise statement of the strong Whitney embedding theorem for non-compact manifolds. The strong ...

My basic question is: What is Kirby's torus trick and why did it solve so many problems? I can get a glimmer of it from looking at Kirby's original paper, "Stable Homeomorphisms and the Annulus ...

I've been asked for a reference for the following construction and since I didn't know one, I thought I'd ask here if anyone did. Consider two smooth manifolds with boundary of the same dimension, $M$...

Let $M$ be a smooth manifold, let $\mathcal{P}$ be a Whitney stratification of $M$ and let $S\subset M$ be a stratum with closure $\overline{S}$. Question: Does there exist an open neighborhood $U\...