Glasnik matematički, Vol. 37 No. 2, 2002.
Original scientific paper
The hyperspace C_2(X) for a finite graph X is unique
Alejandro Illanes
Abstract
Let X be a metric continuum. Let C2(X) be the hyperspace of X consisting of all the nonempty and with at most two components closed subsets of X, with the Hausdorff metric. In this paper we prove that if X is a finite graph and Y is a metric continuum such that C2(X) is homeomorphic to C2(Y), then X is homeomorphic to Y.
Keywords
Continuum; finite graph; hyperspaces; unique hyperspace
Hrčak ID:
4803
URI
Publication date:
1.12.2002.
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