The relationship between components and movability for compacta (i.e. compact metric spaces) was described by Borsuk in . Borsuk proved that if each component of a compactum X is movable, then so is X. More recently Segal and Spiez, motivated by results of Alonso Morón, have constructed a (non-compact) metric space X of small inductive dimension zero and such that X is non-movable. The construction of Segal and Spiez was based on the famous space of P. Roy . On the other hand, K. Borsuk gave in  an example of a movable compactum with non-movable components. The structure of such compacta was studied by Oledzki in , where he obtained an interesting result stating that if X is a movable compactum then the set of movable components of X is dense in the space of components of X. Oledzki's result was later strengthened by Nowak, who proved that if all movable components of a movable compactum X are of deformation dimension at most n, then so are the non-movable components and the compactum X itself.
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