[piaskal]

While there isn't anything special marking the edge of space, the generally accepted definition is 100km https://en.wikipedia.org/wiki/Edge_of_space

[pbhjpbhj]

http://en.wikipedia.org/wiki/Air_sovereignty

Makes me interested to see what the treaties say as I'd be surprised it no one thought to limit the control of countries to allow satellites to pass without permission or allow space vehicles in general.

Though as you point out there is the Karman line convention.