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arXiv · 0706.0557

Embeddability of multiple cones

Dušan Repovš·Witold Rosicki·Andreas Zastrow·Matjaž Željko
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Abstract

The main result of this paper is that if $X$ is a Peano continuum such that its $n$-th cone $C^n(X)$ embeds into $\RR^{n+2}$ then $X$ embeds into $S^2$. This solves a problem proposed by W. Rosicki.

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Dušan Repovš, Witold Rosicki, Andreas Zastrow, Matjaž Željko. 2008-03-29. Embeddability of multiple cones. https://doi.org/10.1016/j.topol.2008.02.007

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