Grill Determined L-Approach Merotopological Spaces

Article type: Research Article

Authors: Khare, Mona | Tiwari, Surabhi

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

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.

Keywords: L-grill, approach space, merotopology, topological construct

DOI: 10.3233/FI-2010-236

Journal: Fundamenta Informaticae, vol. 99, no. 1, pp. 1-12, 2010