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Abstract: The purpose of this paper is to present, for all $n\ge 3$, very simpleexamples of continuous maps $f:M^{n-1} \to M^{n}$ from closed $n-1$-manifolds$M^{n-1}$ into closed $n$-manifold $M^n$ such that even though the singular set$Sf$ of $f$ is countable and dense, the map $f$ can nevertheless beapproximated by an embedding, i.e. $f$ is a {\sl near-embedding}.



Author: D. Repovš, W. Rosicki, A. Zastrow, M. Željko

Source: https://arxiv.org/







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