Geodesic
A counterexample concerning products in the shape category
J. Dydak1 ; S. Mardešić2
1 Department of Mathematics University of Tennessee Knoxville, TN 37996, U.S.A.
2 Department of Mathematics University of Zagreb Bijenička cesta 30 P.O. Box 335 10 002 Zagreb, Croatia
Fundamenta Mathematicae, Tome 186 (2005) no. 1, pp. 39-54.

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

We exhibit a metric continuum $X$ and a polyhedron $P$ such that the Cartesian product $X\times P$ fails to be the product of $X$ and $P$ in the shape category of topological spaces.
DOI : 10.4064/fm186-1-3
Keywords: exhibit metric continuum polyhedron cartesian product times fails product shape category topological spaces

J. Dydak 1 ; S. Mardešić 2

1 Department of Mathematics University of Tennessee Knoxville, TN 37996, U.S.A.
2 Department of Mathematics University of Zagreb Bijenička cesta 30 P.O. Box 335 10 002 Zagreb, Croatia 
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J. Dydak; S. Mardešić. A counterexample concerning products in the shape category. Fundamenta Mathematicae, Tome 186 (2005) no. 1, pp. 39-54. doi : 10.4064/fm186-1-3. http://geodesic.mathdoc.fr/articles/10.4064/fm186-1-3/

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