Hi, I'm aware of a typical example of injective immersion that is not a topological embedding: figure 8
##\beta: (-\pi, \pi) \to \mathbb R^2##, with ##\beta(t)=(\sin 2t,\sin t)##
As explained here an-injective-immersion-that-is-not-a-topological-embedding the image of ##\beta## is compact in...
Can there be a bounded space without a boundary without embedding in a higher spatial dimension?
This seems to be the kind of question I get stuck on when the big bang comes up.
Thanks