Historique de la notion de compacite

  title={Historique de la notion de compacite},
  author={Jean-Paul Pier},
  journal={Historia Mathematica},
Abstract The Bolzano-Weierstrass and Borel-Lebesgue properties of sets constitute the fundamental ideas that led to the notion of compactness. The link between these ideas appeared for the first time to Frechet, who formulated the first definition of a compact set. The notion developed simultaneously with that of a complete set thanks mainly to the contributions made by Hausdorff and Alexandroff. Later Moore-Smith convergence and filters enabled simplification of the language. 
10 Citations
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A pedagogical history of compactness


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