Peano Curves and Infinite Knots






Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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In the year 1890 Giuseppe Peano discovered curves that are going through all the points of a square showing then continuous surjections between [0,1] and [0,1]x[0,1]. This can be generalized beyond dimension 2.


Copyright © Jean-François Colonna, 2022-2022.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2022-2022.