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An example of a wild $(n-1)$-sphere in $S\sp{n}$ in which each $2$-complex is tame
The main purpose of this note is to give an example promised in the title (for $n \geqq 5$). The example is the k-fold suspension $(k \geqq 2)$ of Bingâs 2-sphere in ${S^3}$ in which each closed, nowhere dense subset is tame. Our efforts were motivated by recent results of …