A nonmovable space with movable components

Dydak, J.; Segal, J.; Spież, S.

doi:10.1090/S0002-9939-1988-0934894-2

A nonmovable space with movable components
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by J. Dydak, J. Segal and S. Spież

Proc. Amer. Math. Soc. 102 (1988), 1081-1087

DOI: https://doi.org/10.1090/S0002-9939-1988-0934894-2

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Abstract:

In this paper we construct a nonmovable complete metric space of which every component is movable. This construction is based on P. Roy’s famous example of a complete metric space $X$ which has inductive dimension ind $X = 0$ and covering dimension $\dim X = 1$.

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