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Weil uniformities for frames

Jorge Picado (1995)

Commentationes Mathematicae Universitatis Carolinae

In pointfree topology, the notion of uniformity in the form of a system of covers was introduced by J. Isbell in [11], and later developed by A. Pultr in [14] and [15]. Another equivalent notion of locale uniformity was given by P. Fletcher and W. Hunsaker in [6], which they called “entourage uniformity”. The purpose of this paper is to formulate and investigate an alternative definition of entourage uniformity which is more likely to the Weil pointed entourage uniformity, since it is expressed...

α -continuous and α -irresolute multifunctions

Jiling Cao, Ivan L. Reilly (1996)

Mathematica Bohemica

Recently Popa and Noiri [10] established some new characterizations and basic properties of α -continuous multifunctions. In this paper, we improve some of their results and examine further properties of α -continuous and α -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].

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