Predavatelj: S. Mardešić

In 1977 Y. Kodama proved that the Cartesian product of an FANR and a paracompact space is a (direct) product in the shape category of topological spaces Sh(Top). Since metrizable movable continua generalize FANRs, it was natural to ask for products of such continua with other spaces. In the present paper we show that the Cartesian product of a metrizable movable continuum with a polyhedron need not be a product in Sh(Top). A counterexample is the Cartesian product of the Hawaiian earring and the polyhedron that is the pointed sum of a sequence of copies of circles.