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57Mxx

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Low-dimensional topology

  • 57M05 Fundamental group, presentations, free differential calculus
  • 57M07 Topological methods in group theory
  • 57M10 Covering spaces
  • 57M12 Special coverings, e.g. branched
  • 57M15 Relations with graph theory [See also 05Cxx]
  • 57M20 Two-dimensional complexes
  • 57M25 Knots and links in $S^3$ {For higher dimensions, see 57Q45}
  • 57M27 Invariants of knots and 3-manifolds
  • 57M30 Wild knots and surfaces, etc., wild embeddings
  • 57M35 Dehn's lemma, sphere theorem, loop theorem, asphericity
  • 57M40 Characterizations of $E^3$ and $S^3$ (Poincaré conjecture) [See also 57N12]
  • 57M50 Geometric structures on low-dimensional manifolds
  • 57M60 Group actions in low dimensions
  • 57M99 None of the above, but in this section