When is the set of embeddings finite up to isotopy

@article{Skopenkov2011WhenIT,
  title={When is the set of embeddings finite up to isotopy},
  author={Mikhail Skopenkov},
  journal={International Journal of Mathematics},
  year={2011},
  volume={26},
  pages={1550051}
}
  • M. Skopenkov
  • Published 9 June 2011
  • Mathematics
  • International Journal of Mathematics
Given a manifold N and a number m, we study the following question: is the set of isotopy classes of embeddingsN → Smfinite? In case when the manifold N is a sphere the answer was given by A. Haefliger in 1966. In case when the manifold N is a disjoint union of spheres the answer was given by D. Crowley, S. Ferry and the author in 2011. We consider the next natural case when N is a product of two spheres. In the following theorem, FCS(i, j) ⊂ ℤ2 is a specific set depending only on the parity of… 
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