La compacitat, una noció seminal en l'evolució de la topologia general (1895-1930)
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In this paper we analyze the evolution of the notion of compactness for topological
spaces from its first appearance in a Fréchet 1904 paper generalising
the Bolzano-Weierstrass property, encompassing its relationship with the Borel
covering theorem for the interval [0, 1], and including the general definition
based on the Heine-Borel property for arbitrary open covers in 1929. We focus
our analysis on four key works: Borel's thesis, Fréchet's thesis, Hausdorff's
Grundzüge and Alexandroff-Urysohn's memoire.
spaces from its first appearance in a Fréchet 1904 paper generalising
the Bolzano-Weierstrass property, encompassing its relationship with the Borel
covering theorem for the interval [0, 1], and including the general definition
based on the Heine-Borel property for arbitrary open covers in 1929. We focus
our analysis on four key works: Borel's thesis, Fréchet's thesis, Hausdorff's
Grundzüge and Alexandroff-Urysohn's memoire.
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How to Cite
Moreno Montes, Júlia et al. “La compacitat, una noció seminal en l’evolució de la topologia general (1895-1930)”. Butlletí de la Societat Catalana de Matemàtiques, vol.VOL 35, no. 1, pp. 23-56, https://raco.cat/index.php/ButlletiSCM/article/view/374409.
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