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Uniformly locally connected uniformσ-frames

✍ Scribed by I. Naidoo


Publisher
Akadmiai Kiad
Year
2008
Tongue
English
Weight
850 KB
Volume
122
Category
Article
ISSN
1588-2632

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✍ Iwona Krzemińska; Janusz R. Prajs 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 99 KB

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.