0. Research I did when I was an academic and never published. I really should get around to finishing it.
I actually worked on a solution for the money problem too (I got a bit obsessed with doing something about climate change back in 2007). This I have written about if anyone is interested [0].
0. https://www.tillett.info/2015/12/13/preventing-global-climat...
If you've found a way to convince people to do that wouldn't it be easier to just not burn coal for energy? Or do you mean doing it at such a massive scale we reverse the net flow of coal from the ground to the atmosphere?
We have no other choice. We either do that or it's possible that somebody is alive today who will see the collapse of human civilization.
Among all higher life forms (fish, reptiles, mammals and even most plants), humans with technology are the most robust.
Some billionaires waste even time and money for the colonization of dead spaces like Mars or the Moon.
http://www.popularmechanics.com/science/environment/a3719/42...
Ecosystems may have some trouble with it.
On tiny scales, carbon bonds have sufficient strength/weight ratio so that the elevator might support it's own weight, but there's not that much margin left. As the macrostructure likely requires a multiple of weight, to account for the fact that a kilometers-long string can't be manufactured perfect to the single atom, and that damage can and will occur (e.g. any radiation), etc, etc - according to our current knowledge of physics it might as well be that a sufficiently strong macroscale material for an Earth-sized space elevator cannot exist. Moon or Mars is a different issue, though.