IJPAM: Volume 105, No. 1 (2015)
CECH CLOSURE OPERATORS
Anappilakkal(H), Pullancheri, Kuzhimana P.O.
Malappuram Dt., Pin:673641, Kerala, INDIA
Department of Mathematics
University of Calicut
Malappuram Dt., Pin: 673635, Kerala, INDIA
Abstract. In this paper we investigate the adjacency relations in the lattice of ech closure operators on a fixed set with special reference to ech closure operators. The existence of upper and lower neighbours of some ech closure operators are demonstrated. The concept of simple expansions of a ech closure operator is also introduced.
Received: July 30, 2015
AMS Subject Classification: 54A05, 03G10
Key Words and Phrases: upper neighbour, topological upper neighbour, lower neighbour, simple expansion
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DOI: 10.12732/ijpam.v105i1.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 73 - 86