The question does not so much depend 4D/3D. So consider a paper as approximating a 2d world. The inhabitants can only move to points where the paper substrate is.
If you cut out a disc there then the inhabitants simply can no more move to points where the disc was and if someone was in this disc during cutting then he afterwards is in a circular jail.
However it is not the experience of our 3d world that space can stop somewhere (at a sphere in this example), i.e. that you would bump directly into an infinitely hard border somewhere. Our experience is that however far we go, we can still go a step farther.
This could also achieved in this case if we chose the geometry such that there is an infinite way to the boundary of the sphere/disc, i.e. that the remaining space is topologically open. Perhaps ask Wendy about it, it is to cumbersome to explain in more detail in the moment for me.
A 2d being needs some substrate to live in: a 2d world. For me it makes no sense for a 2d being falling into a 3d world. However you can cut and bend the 2d world and afterwards they live in the deformed 2d world.
Though this is anyway hypothetical as nobody ever encountered a real 2d world yet.
There is already a thread about whether or not the 2D world could be "touched" by the 3D world, but I can't seem to find it anywhere...
Probably, because Keiji deleted the search words.
See thread
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