Embedding hyperspaces

作者：Martinez de la Vega Veronica^*; Ordonez Norberto

来源：Topology and Its Applications, 2012, 159(8): 2032-2042.

DOI：10.1016/j.topol.2012.01.009

• Continuum
• Embedding
• Euclidean space
• Hausdorff metric
• Hyperspace
• Symmetric product

For a metric continuum X. we consider the hyperspaces C(X) and F-2(X) of all subcontinua and of all nonempty subsets of X with at most two points, respectively. In this paper we study classes of continua X for which F-2(X) can be embedded in C(X) and we also characterize locally connected continua X for which C(X) can be embedded in the Euclidean space R-4 and we prove a similar result for R-5.

• 出版日期2012-5-15