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.
Property of Kelley for confluent retractable continua
✍ Scribed by Janusz J. Charatonik; Włodzimierz J. Charatonik; Alejandro Illanes
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 73 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
✦ Synopsis
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 Kelley.
📜 SIMILAR VOLUMES
## Abstract The numerical analysis of large numbers of arbitrarily distributed discrete thin fibres embedded in a continuum is a computationally demanding process. In this contribution, we propose an approach based on the partition of unity property of finite element shape functions that can handle
## Abstract The following article from __International Journal for Numerical Methods in Engineering__, Comments on ‘Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC‐PIM)’ by G. R. Liu and G. Y. Zhang, published online on 19 Jun