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Ali Taghavi
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can we foliate the punchered space with torus

Is it possible to have a 2 dimensional foliation of R^{3}-{0} such that each leaf is homeomorphic to the torus. what algebraic topological obstruction exist?

Another question: is there a foliation as above with the following additional property : The foliation is stable at the origin. that is for every neighborhood V of origin there is a smaller neighborhood W such that the saturation of W is contained in V?

Ali Taghavi
  • 356
  • 8
  • 31
  • 123