✦ LIBER ✦

On continua whose hyperspace of subcontinua is σ-locally connected

✍ Scribed by Iwona Krzemińska; Janusz R. Prajs

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 99 KB
Volume: 96
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00014-5

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✦ Synopsis

We provide a structural characterization of all continua X whose hyperspace C(X) of all subcontinua is the countable union of Peano continua. Applying this result we prove that there exists a uniformly path connected continuum X with no continuous mapping from C(X) onto X.