Grill Determined L-Approach Merotopological Spaces

  • Authors:
  • Mona Khare;Surabhi Tiwari

  • Affiliations:
  • Department of Mathematics, University of Allahabad Allahabad-211 002, India. E-mail: dr.mkhare@gmail.com;Allahabad Mathematical Society, 10 C.S.P. Singh Marg Allahabad-211 001, India. E-mail: au.surabhi@gmail.com

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2010

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Abstract

The present paper is devoted to the study of grill determined L-approachmerotopological spaces. The category having such spaces as objects is shown to be a topological construct (its initial and final structures are provided explicitly). The lattice structure of the family of all these spaces is also discussed. In the classical theory, this category (that is, when L={0, 1}) is a supercategory of the category of pseudo metric spaces and nonexpansive maps.