English

Embeddability of multiple cones

Geometric Topology 2008-05-14 v2

Abstract

The main result of this paper is that if XX is a Peano continuum such that its nn-th cone Cn(X)C^n(X) embeds into \RRn+2\RR^{n+2} then XX embeds into S2S^2. This solves a problem proposed by W. Rosicki.

Keywords

Cite

@article{arxiv.0706.0557,
  title  = {Embeddability of multiple cones},
  author = {Dušan Repovš and Witold Rosicki and Andreas Zastrow and Matjaž Željko},
  journal= {arXiv preprint arXiv:0706.0557},
  year   = {2008}
}
R2 v1 2026-06-21T08:35:08.651Z