Compactifications of unstable N\"obeling spaces

22 Nov 2017  ·  Nagórko A. ·

We construct and embedding of a N\"obeling space $N^n_{n-2}$ of codimension $2$ into a Menger space $M^n_{n-2}$ of codimension $2$. This solves an open problem stated by R.~Engelking in 1978 in codimension~$2$.

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General Topology Geometric Topology Metric Geometry