Embedding cones over trees into their symmetric products

作者：Corona Vazquez F; Quinones Estrella R A; Villanueva H^*

来源：Topology and Its Applications, 2017, 231: 77-91.

DOI：10.1016/j.topol.2017.09.004

• Cone
• Continuum
• Embedding
• Hyperspace
• Symmetric product
• Tree

Given a metric continuum X and a positive integer n, let F-n(X) be the hyperspace of nonempty sets of X with at most n points and let Cone(X) be the topological cone of X. We say that a continuum X is cone-embeddable in F-n(X) if there is an embedding h from Cone(X) into F-n(X) such that h(x, 0) = {x} for each x in X. In this paper, we characterize trees X that are cone-embeddable in F-n(X).

• 出版日期2017-11-1