A counterexample concerning products in the shape category

Volume 186 / 2005

J. Dydak, S. Mardešić Fundamenta Mathematicae 186 (2005), 39-54 MSC: 54C56, 55P55, 54B10. DOI: 10.4064/fm186-1-3


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.


  • J. DydakDepartment of Mathematics
    University of Tennessee
    Knoxville, TN 37996, U.S.A.
  • S. MardešićDepartment of Mathematics
    University of Zagreb
    Bijenička cesta 30
    P.O. Box 335
    10 002 Zagreb, Croatia

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