Lebesgue and Co-Lebesgue Di-Uniform Texture Spaces

Abstract

The author introduces the notions of Lebesgue di-uniformity and co Lebesgue di-uniformity and investigates the relationship between a Lebesgue quasi uniformity on X and the corresponding Lebesgue di-uniformity on the discrete texture (X, P(X)). Finally a notion of a dual dicovering Lebesgue quasi di-uniform texture space is introduced and several properties are discussed. (C) 2009 Elsevier B.V. All rights reserved.