Analysis Situs (book)

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Analysis Situs is an influential mathematical paper (and a series of addenda) written by Henri Poincaré. Besides providing the first systematic treatment of topology, Poincaré revolutionized the subject by using algebraic structures to distinguish between non-homeomorphic topological spaces, effectively creating the subject of algebraic topology.

In the papers he introduced the concepts of fundamental group and simplicial homology.

[edit] References

  • Henri Poincaré, Analysis Situs, Journal de l'École Polytechnique ser 2, 1 (1895) pages 1-123.
  • Henri Poincaré, Complément à l'Analysis Situs, Rendiconti del Circolo matematico di Palermo, 13 (1899) pages 285-343.
  • Henri Poincaré, Second complément à l'Analysis Situs, Proceedings of the London Mathematical Society, 32 (1900), pages 277-308.
  • Henri Poincaré, Sur certaines surfaces algébriques ; troisième complément à l'Analysis Situs, Bulletin de la Société mathématique de France, 30 (1902), pages 49-70.
  • Henri Poincaré, Sur les cycles des surfaces algébriques ; quatrième complément à l'Analysis Situs, Journal de mathématiques pures et appliquées, 5° série, 8 (1902), pages 169-214.
  • Henri Poincaré, Cinquième complément à l'analysis situs, Rendiconti del Circolo matematico di Palermo 18 (1904) pages 45-110.


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