Imbedding of zero-dimensional compacta in $E^3$

In this paper, for an arbitrary zero-dimensional compactum $P$ in $E^3$, a pseudoisotopy $F_t$ of the space $E^3$ onto itself is constructed, taking a tame zero-dimensional compactum $C$ into $P$; here each nondegenerate preimage of a point under the mapping $F_1$ is a tame arc.
For the zero-dimensional Antoine compactum $A$ a pseudoisotopy $F_t$ of $E^3$ onto itself is constructed taking a tame zero-dimensional compactum into it so that the mapping $F_1$ has a countable set of nondegenerate primages of points, but each of these is not a locally connected continuum.
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