𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


Fans with the property of Kelley
✍ J.J. Charatonik; W.J. Charatonik 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 405 KB
Continua which have the property of Kell
✍ Gerardo Acosta; Alejandro Illanes 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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.

Numerical homogenization of the acoustic
✍ Houman Owhadi; Lei Zhang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 822 KB

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