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Some functions on hyperspaces of continua

✍ Scribed by W]l̷odzimierz J. Charatonik


Book ID
104187733
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
679 KB
Volume
22
Category
Article
ISSN
0166-8641

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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.