Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777873 | Topology and its Applications | 2017 | 14 Pages |
Abstract
For a continuum X, let Fn(X) be the hyperspace of all nonempty subsets of X with at most n-points. In this paper we show that if X is either a finite graph or a fan (a dendroid with exactly one ramification point) and Fn(X) is a cone for some n, then X is a cone.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alejandro Illanes, Verónica MartÃnez-de-la-Vega,