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Finite linear coverings of locally connected continua

โœ Scribed by P. Spyrou

Book ID
105536454
Publisher
Springer Netherlands
Year
1992
Tongue
English
Weight
321 KB
Volume
25
Category
Article
ISSN
0031-5303

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โœ Iwona Krzemiล„ska; Janusz R. Prajs ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.