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The dynamics of homeomorphisms of hereditarily decomposable chainable continua

โœ Scribed by Ye Xiangdong


Book ID
107913866
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
686 KB
Volume
64
Category
Article
ISSN
0166-8641

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๐Ÿ“œ SIMILAR VOLUMES


Complexity of hereditarily decomposable
โœ Udayan B. Darji ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 70 KB

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 mode

Continua which have the property of Kell
โœ Gerardo Acosta; Alejandro Illanes ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

In this paper we introduce the notion of property of Kelley hereditarily. Among other results we prove that a continuum X is hereditarily locally connected if and only if X has the property of Kelley hereditarily and X is arcwise connected. This is a generalization of a theorem due to Czuba.