Applying general results on separation of semialgebraic sets and spaces of orderings, we produce a catalogue of all possible geometric obstructions for separation of 3-dimensional semialgebraic sets and give some hints on how separation can be made decidable.
@article{urn:eudml:doc:44249, title = {Classification of obstructions for separation of semialgebraic sets in dimension 3.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {10}, year = {1997}, pages = {27-49}, zbl = {0918.14021}, mrnumber = {MR1485290}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44249} }
Acquistapace, F.; Broglia, F.; Andradas, C. Classification of obstructions for separation of semialgebraic sets in dimension 3.. Revista Matemática de la Universidad Complutense de Madrid, Tome 10 (1997) pp. 27-49. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44249/