Lebesgue quasi-uniformity on textures

• Ozcag, Selma ^[1]
  1. [1] Hacettepe University

     Hacettepe University

     Turquía

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 16, Nº. 2, 2015, págs. 167-181
• Idioma: inglés
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• Resumen

  • 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.