The property of Kelley for confluent retractable continua is studied. It is shown that a confluent retractable continuum has the property of Kelley if and only if each of its proper subcontinua has the property. An example is constructed of a confluent retractable continuum without the property of K
Continua which have the property of Kelley hereditarily
β Scribed by Gerardo Acosta; Alejandro Illanes
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 115 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0166-8641
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β¦ Synopsis
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.
π SIMILAR VOLUMES
In this paper we shall consider the relationships between a local version of the Ε½ . single valued extension property of a bounded operator T g L X on a Banach space X and some quantities associated with T which play an important role in Fredholm theory. In particular, we shall consider some conditi
We generalize the property of Kelley for continua to the non-metric case. Basic properties that are true in metric case are shown to be true in general. An example is constructed showing that, unlike for metric continua, the homogeneity does not imply the property of Kelley.