Marshall Williams

> Other issue: what do we mean by an _arc_? We follow S&S that define it as an injective continuous map $f\colon [0,1]\to X$. But it seems many (most?) other...

Also, for what it's worth, I *think* the theorem $T_2$+path connected implies arc-connected ([T240](https://topology.pi-base.org/theorems/T000240)) can probably be relaxed to only require $US$, under our current definition (following the sketch in...

> > Also, for what it's worth, I *think* the theorem $T_2$+path connected implies arc-connected ([T240](https://topology.pi-base.org/theorems/T000240)) can probably be relaxed to only require $US$, under our current definition (following the...

> (back to your argument) Does it show inj path connected, or strong arc connected? > > I need to think to see I am not missing anything. It only...

> > (back to your argument) Does it show inj path connected, or strong arc connected? > > I need to think to see I am not missing anything. >...