TITLE:
Generalized Topological Molecular Lattices
AUTHORS:
Kamal El-Saady, Fatima Al-Nabbat
KEYWORDS:
Generalized Topological Molecular Lattices, Generalized Order Homomorphisms, Convergence of Molecular Nets, Separation Axioms
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.9,
July
10,
2015
ABSTRACT: The aim of this paper is to introduce the concept of generalized topological molecular lattices briefly GTMLs as a generalization of Wang’s topological molecular lattices TMLs, Császár’s setpoint generalized topological spaces and lattice valued generalized topological spaces. Some notions such as continuous GOHs, convergence theory and separation axioms are introduced. Moreover, the relations among them are investigated.