A wild knot $\mathbb{S}^{2}\hookrightarrow\mathbb{S}^{4}$ as limit set of a Kleinian Group: Indra's pearls in four dimensions

Details A wild knot $\mathbb{S}^{2}\hookrightarrow\mathbb{S}^{4}$ as limit set of a Kleinian Group: Indra's pearls in four dimensions A wild knot $\mathbb{S}^{2}\hookrightarrow\mathbb{S}^{4}$ as limit set of a Kleinian Group: Indra's pearls in four dimensions

2005-09-09

arxiv.org/abs/math/0509215v1

Mathematics

Geometric Topology

35 pages, 18 figures

Scientific paper

The purpose of this paper is to construct an example of a 2-knot wildly
embedded in $\mathbb{S}^{4}$ as the limit set of a Kleinian group. We find that
this type of wild 2-knots has very interesting topological properties.

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