Embeddability of multiple cones

Details Embeddability of multiple cones Embeddability of multiple cones

2007-06-04

arxiv.org/abs/0706.0557v2

Topol. Appl. 155:11 (2008), 1201-1206.

Mathematics

Geometric Topology

Some minor corrections were made

Scientific paper

10.1016/j.topol.2008.02.007

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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