Geodesic
A dimensional property of Cartesian product
Michael Levin1
1 Department of Mathematics Ben Gurion University of the Negev P.O.B. 653 Be'er Sheva 84105, Israel
Fundamenta Mathematicae, Tome 220 (2013) no. 3, pp. 281-286.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
DOI : 10.4064/fm220-3-7
Keywords: cartesian product three hereditarily infinite dimensional compact metric spaces never hereditarily infinite dimensional quite surprising proof only proof known author essentially relies algebraic topology

Michael Levin 1

1 Department of Mathematics Ben Gurion University of the Negev P.O.B. 653 Be'er Sheva 84105, Israel 
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Michael Levin. A dimensional property of Cartesian product. Fundamenta Mathematicae, Tome 220 (2013) no. 3, pp. 281-286. doi : 10.4064/fm220-3-7. http://geodesic.mathdoc.fr/articles/10.4064/fm220-3-7/

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