Motivation: In playing around with some rather complicated groups in GAP during my PhD - which is on hiatus due to ill health - I found that, with some of them, if I set some element $g$ of such a group $G$ equal to the identity by quotienting out by the normal subgroup $\langle\langle g\rangle\...

I want to define a homotopic flow on a countable set $S\subset\Bbb N$. I'm thinking of the set $S\subset\Bbb N$ as being continuously mapped s.t. after a countable amount of time, the sets completely overlap and have exactly the same elements. Q: Given an arbitrary set $S,$ how can I define ...

Motivation: In playing around with some rather complicated groups in GAP during my PhD, I found that, with some of them, if I set some element $g$ of such a group $G$ equal to the identity by quotienting out by the normal subgroup $\langle\langle g\rangle\rangle$ it generates, so that, as they s...