A homogeneous continuum without the property of Kelley
✍ Scribed by Wl̵odzimierz J. Charatonik
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 75 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
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.
In this paper, we consider numerical homogenization of acoustic wave equations with heterogeneous coefficients, namely, when the bulk modulus and the density of the medium are only bounded. We show that under a Cordes type condition the second order derivatives of the solution with respect to harmon