Números, combinatoria y nudos: de lo discreto a lo continuo



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Montesinos Amilibia, José María (1996) Números, combinatoria y nudos: de lo discreto a lo continuo. In Discurso Inauguración del curso Académico.16/10/1996, Real Academia de Ciencias Exactas, Físicas y Naturales.

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Official URL: http://www.rac.es/ficheros/Discursos/DI_20080825_069.pdf


The author describes such things as the Poincaré conjecture, Waldhausen's generalization of it, and the dimension 4 Poincaré conjecture. Then he turns to the finite-infinite and discrete-continuous dichotomies. For the former he gives examples in number theory (the computation of decimal and septimal digits of e and π, and the continued fraction continuants for π) and for the latter he gives examples from combinatorial topology (triangulations and homology) and knot theory (homotopy and Whitehead's example). The paper is a written version of a talk given to a general scientific (in contrast to a general mathematical) audience.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:Number theory
Subjects:Sciences > Mathematics > Number theory
ID Code:22215
Deposited On:05 Jul 2013 15:24
Last Modified:12 Dec 2018 15:13

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