Embedding cones in hyperspaces

作者：Villanueva Hugo^*

来源：Topology and Its Applications, 2013, 160(2): 296-304.

DOI：10.1016/j.topol.2012.11.006

• Arc
• Cone
• Continuum
• Contractible
• Dendrite
• Embedding
• Hyperspace
• Indecomposable
• Product
• Smoothness
• Symmetric product
• Terminal subcontinuum
• Whitney levels

Given a metric continuum X, let C(X) be the hyperspace of subcontinua of X and Cone(X) the topological cone of X. We say that a continuum X is cone-embeddable in C(X) provided that there is an embedding h from Cone(X) into C(X) such that h(x, 0) = {x} for each x in X. In this paper, we present some results concerning continua X that are cone-embeddable in C(X).

• 出版日期2013-2-1