Filiz Yıldız

Categories of dicompact BI- T 2 texture spaces and a Banach-stone theorem

The principal aim of this paper is to consider various aspects of the theory of dicompact bi-T 2 texture spaces, and place them in a categorical setting. It culminates in a version of the Banach-Stone theorem. On the way, a new class of textures, called here nearly plain textures, is seen to play a crucial role in the development of the theory.

Extended real dicompactness and an application to Hutton spaces

Abstract The authors extend the notion of real dicompactness from the class of nearly plain textures to the considerably larger class of almost plain textures and show how this may be used to define a notion of realcompactness for Hutton spaces.

Connections between realcompactifications in various categories

Abstract The author gives a detailed analysis of the relation between the theories of realcompactifications and compactifications in the category of ditopological texture spaces and in the categories of bitopological spaces and topological spaces.