Embeddability of multiple cones

Andreas Zastrow; Du\v{s}an Repov\v{s}; Matja\v{z} \v{Z}eljko; Witold Rosicki

arxiv: 0706.0557 · v2 · submitted 2007-06-04 · 🧮 math.GT

Embeddability of multiple cones

Du\v{s}an Repov\v{s} , Witold Rosicki , Andreas Zastrow , Matja\v{z} \v{Z}eljko This is my paper

classification 🧮 math.GT

keywords embedsconeconescontinuumembeddabilitymainmultiplepeano

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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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Embeddability of multiple cones

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