QUAESTIONES MATHEMATICAE, cilt.30, sa.2, ss.167-192, 2007 (SCI-Expanded)
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.