Lattice Isomorphism and L-homeomorphism

Article type: Research Article

Authors: Tomy, Navin^{a; b; *} | Johnson, T.P.^c

Affiliations: [a] Research Scholar, Department of Mathematics, Cochin University of Science and Technology, Cochin, Kerala, India | [b] Assistant Professor, Department of Mathematics, Bharata Mata College, Thrikkakara, Kerala, India | [c] Applied Sciences and Humanities Division, School of Engineering, Cochin University of Science and Technology, Cochin, Kerala, India

Correspondence: [*] Corresponding author. Navin Tomy. [email protected].

Abstract: This paper deals with lattice isomorphic L-topological spaces. We are concerned with a question: Under what conditions will a lattice isomorphic L-topological spaces be L-homeomorphic. We give contributions to this question in three different ways.

Keywords: L-homeomorphism, quasi L-homeomorphism, lattice isomorphism, pL-homeomorphism

DOI: 10.3233/JIFS-234375

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 9069-9082, 2024