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Complexity of hereditarily decomposable continua

โœ Scribed by Udayan B. Darji

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
70 KB
Volume
103
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

The purpose of this short note is to show that the set of hereditarily decomposable subcontinua of I n (2 n ฯ‰) is a coanalytic and non-Borel subset of C(I n ), the space of all subcontinua of I n endowed with the Hausdorff metric. As a simple corollary to this result, we obtain that there is no model for A(I n ), the set of arcwise connected continua in I n .

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