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Continuous collections of hereditarily indecomposable continua

✍ Scribed by Wayne Lewis

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
464 KB
Volume
74
Category
Article
ISSN
0166-8641

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✦ Synopsis

We present a survey of work on the title topic. Several questions are also posed.

πŸ“œ SIMILAR VOLUMES

Complexity of hereditarily decomposable
Complexity of hereditarily decomposable continua
✍ Udayan B. Darji πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 70 KB

The purpose of this short note is to show that the set of hereditarily decomposable subcontinua of I n (2 n Ο‰) 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

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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.

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Existence and continuous dependence results in the theory of interacting continua
✍ D. Ieşan; R. Quintanilla πŸ“‚ Article πŸ“… 1994 πŸ› Springer Netherlands 🌐 English βš– 491 KB

This paper is concerned with the linear theory for binary mixtures of elastic bodies. In the first part of the paper we study boundary-value problems of the equilibrium theory. Existence and uniqueness theorems are established. The second part of the paper is devoted to the dynamic theory. We use th