Resumen de Lebesgue quasi-uniformity on textures

Selma Özçag

• This is a continuation of the work where the notions of Lebesgue uniformity and Lebesgue quasi uniformity in atexture space were introduced. It is  well known that the quasiuniform space with a compact topology has the Lebesgue property.This result is extended to direlational quasi uniformities anddual dicovering quasi uniformities. Additionally we discuss thecompleteness of lebesgue di-uniformities and dual dicoveringlebesgue di-uniformities.