Journal of Engineering and Applied Sciences
Year:
2018
Volume:
13
Issue:
12
Page No.
4438 - 4441
On the Number of Ultra L-topologies in the Lattice of L-topologies
Authors :
Pinky
and
T.P. Johnson
References
Babusundar, S., 1989. Some lattice problems in fuzzy set theory and fuzzy topology. Ph.D Thesis, Cochin University of Science and Technology, Kochi, India.
Balasubramanian, G., 1992. On extensions of fuzzy topologies. Kybernetika, 28: 239-244.
Direct Link | Birkhoff, G., 1936. On the combination of topologies. Fundamenta Math., 26: 156-166.
Direct Link | Davey, B.A. and H.A. Priestley, 2002. Introduction to Lattices and Order. 2nd Edn., Cambridge University Press, Cambridge, England, UK., Pages: 301.
Frohlich, O., 1964. [The half-system of topological spaces on a set (In German)]. Math. Ann., 156: 79-95.
Direct Link | Gaifman, H.A.I.M., 1966. Remarks on complementation in the lattice of all topologies. Canad. J. Math., 18: 83-88.
Hartmanis, J., 1958. On the lattice of topologies. Canad. J. Math., 10: 547-553.
Johnson, T.P., 1992. On the lattice of fuzzy topologies I. Fuzzy Sets Syst., 48: 133-135.
Direct Link | Johnson, T.P., 2004. On lattices of L-topologies. Indian J. Math., 46: 21-26.
Rooij, A.C.M.V., 1968. The lattice of all topologies is complemented. Canad. J. Math, 20: 805-807.
Direct Link | Steiner, A.K., 1966. The lattice of topologies: Structure and complementation. Trans. Am. Math. Soc., 122: 379-398.
CrossRef | Direct Link | Vaidyanathaswamy, R., 1960. Set Topology. Chelsea Publishing Company, New York, USA.,.
Ying-Ming, L. and L. Mao-Kang, 1997. Fuzzy Topology. World Scientific, Singapore,.