Open AccessLebesgue quasi-uniformity on textures
Author(s) -
Selma Özçağ
Publication year - 2015
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2015.3323
Subject(s) - mathematics , lebesgue integration , standard probability space , lp space , pure mathematics , continuation , space (punctuation) , dual (grammatical number) , topology (electrical circuits) , mathematical analysis , combinatorics , banach space , computer science , art , literature , programming language , operating system
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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