1Department of Mathematics University of Tennessee Knoxville, TN 37996, U.S.A. 2Department 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
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.
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