Lebesgue quasi-uniformity on textures
DOI:
https://doi.org/10.4995/agt.2015.3323Keywords:
Texture, di-uniformity, quasi-uniformity, Lebesgue quasi-uniformity.Abstract
This is a continuation of the work where the notions of Lebesgue uniformity and Lebesgue quasi uniformity in a texture space were introduced. It is well known that the quasi uniform space with a compact topology has the Lebesgue property. This result is extended to direlational quasi uniformities and dual dicovering quasi uniformities. Additionally we discuss the completeness of lebesgue di-uniformities and dual dicovering lebesgue di-uniformities.
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