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Glasnik matematički, Vol.37 No.2 Prosinac 2002.

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The hyperspace C_2(X) for a finite graph X is unique

Alejandro Illanes

Puni tekst: pdf (553 KB), Engleski, Str. 347 - 363 , preuzimanja: 86 *

Sažetak
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.

Ključne riječi
Continuum, finite graph, hyperspaces, unique hyperspace.

Posjeta: 155 *