DENDRITES AND SYMMETRIC PRODUCTS

被引：13

作者：

Acosta, Gerardo ^{[1
]}

Hernandez-Gutierrez, Rodrigo ^{[1
]}

Martinez-de-la-Vega, Veronica ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Math, Mexico City 04510, DF, Mexico

来源：

GLASNIK MATEMATICKI | 2009年 / 44卷 / 01期

关键词：

Continuum; contractibility; dendritc; finite graph; unique hyperspace;

D O I：

10.3336/gm.44.1.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given continuum X and a natural number n, we consider the hyperspace F-n(X) of all nonempty subsets of X with at most n points, metrized by the Hausdorff metric. In this paper we show that if X is a dendrite whose set of end points is closed, n epsilon N and Y is a continuum such that the hyperspaces F-n(X) and F-n(Y) are homeomorphic, then Y is a dendrite whose set of end points is closed.

引用

页码：195 / 210

页数：16

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