Atlas home || Conferences | Abstracts | about Atlas

Analysis and Topology, Lviv - 2008
May 26 - June 7, 2008
Ivan Franko National University of Lviv
Lviv, Ukraine

Organizers
M.Zarichnyi, O.Skaskiv, T.Banakh (Lviv University)

View Abstracts
Conference Homepage

The hyperspace of indecomposable subcontinua of a cube
by
Alicja Samulewicz
Silesian University of Technology

It is known that indecomposable subcontinua of a cube In, n ≥ 2, form a dense Gd -set in the hyperspace C(In) endowed with the Hausdorff metric. We show that for n ≥ 3 the set of all decomposable subcontinua of In is an Fs -absorber in the Hilbert cube C(In). This implies that the hyperspace of all indecomposable continua in the cube of dimension greater than 2 is homeomorphic to the separable Hilbert space l2.

Date received: April 30, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawm-39.