𝔖 Bobbio Scriptorium
✦   LIBER   ✦

S-continuous functions and certain weak forms of regularity and complete regularity

✍ Scribed by J. K. Kohli

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
479 KB
Volume
97
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A topological space is called s‐regular if each closed connected set and a point outside it are separated by disjoint open sets. Similarly notion of complete s‐regularity is introduced; basic properties of s‐regular spaces and completely s‐regular spaces are studied and interrelations between them and the standard separation axioms are observed. It is shown that in the class of semilocally connected spaces s‐regularity coincides with regularity and complete s‐regularity coincides with complete regularity. Moreover, properties of s‐continuous functions are studied and it is shown that s‐regularity and completely s‐regularity are preserved under certain s‐continuous mappings.

📜 SIMILAR VOLUMES

Existence and regularity of a weak solut
Existence and regularity of a weak solution to Maxwell's equations with a thermal effect
✍ Hong-Ming Yin 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract This paper deals with Maxwell's equations with a thermal effect, where the electric conductivity strongly depends on the temperature. It is shown that the coupled system has a global weak solution and the temperature is Hölder continuous if the conductivity decays suitably as temperatur