A counterexample concerning products in the shape category
Volume 186 / 2005
Fundamenta Mathematicae 186 (2005), 39-54
MSC: 54C56, 55P55, 54B10.
DOI: 10.4064/fm186-1-3
Abstract
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.