Mappings and Covering Properties in L-Topological Spaces

Yıl 2010, Cilt: 39 Sayı: 1, 55 - 65, 01.01.2010

T. Baiju Sunil Jacob John

Anahtar Kelimeler

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Kaynakça

• Arens, R. and Dugundji, J. Remark on the concept of compactness, Portugal. Math. 9, 141–143, 1950.
• Baiju, T. and Jacob John, S. Finitistic spaces in L-topological spaces, Proyecciones Journal of Mathematics 28 (1), 47–56, 2009.
• Baiju, T. and Jacob John, S. Fuzzy submetacompact spaces, (communicated).
• Baiju, T. and Jacob John, S. Subparacompactness in L-topological spaces, (communicated). [5] Burke, D. K. Covering properties, in K. Kunen, J. E Vaughan (Eds.), Hand Book of Set Theoretic Topology(Elsevier Science Publishers, 1984), 349–422.
• Burke, D. K. On subparacompact spaces, Proc. Amer. Math. Soc. 23, 655–663, 1969.
• Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182–190, 1968.
• Creede, G. D. Concerning semi-stratifiable spaces, Pacific Journal of Mathematics 32 (1), 47–54, 1970. [9] Dieudonne, J. Une generalization des espaces compact, J. Math. Pures. Appl. 23, 65–76, 1944.
• Gantner, T. E., Steinlage, R. C. and Warren, R. H. Compactness in fuzzy topological spaces, J. Math. Anal. Appl. 62, 547–562, 1978.
• Greever, J. On some generalized compactness properties, Publ. Res. Inst. Math. Soc. Ser. A 4(1), 39–49, 1968.
• Hohle, U. and Rodabaugh, S. E. Mathematics of Fuzzy Sets : Logic, Topology and Measure Theory(The Hand Book of Fuzzy Set Series 3, Kluwer Academic Pub., 1999).
• Jacob John, S. Metacompactness in the L-fuzzy context, The Journal of Fuzzy Mathematics 8(3), 661–668, 2000.
• Jacob John, S. and Baiju, T. Metacompactness in L-topological spaces, Iranian Journal of Fuzzy Systems 5 (3), 71–79, 2008.
• Kubiak, T. The topological modification of the L-fuzzy unit interval, in: S. E. Rodabaugh, E. P. Klement, U. Hohle (Eds.), Applications of Category Theory to Fuzzy Subsets, (Kluwer Academic Publishers, Dordrecht, 1992), 275–305.
• Mao-Kang, L. Paracompactness in fuzzy topological spaces, J. Math. Anal. Appl. 130 (1), 55–77, 1988. [17] McAuley, L. F. A note on complete collectionwise normality and paracompactness, Proc. Amer. Math. Soc. 9, 796–799, 1958.
• Shi, F.-G. A new notion of fuzzy compactness in L-topological spaces, Information Sciences 173, 35–48, 2005.
• Shi, F.-G. and Zheng, C.-Y. Paracompactness in L-topological spaces, Fuzzy Sets and Sys- tems 129, 29–37, 2002.
• Wang, G. J. On the structure of fuzzy lattices, Acta math. Sinica 29, 539–543, 1986.
• Wang, G. J. Theory of L-fuzzy topological spaces (Shaanxi Normal University Pub., Xian, 1988).
• Worrel, J. M. and Wicke, H. H. Characterizations of developable spaces, Canad. J. Math. 17, 820–830, 1965.
• Ying-Ming, L. and Mao-Kang, L. Fuzzy Topology (Advances in Fuzzy Systems Applications and Theory 9, World Scientific, 1997).
• Zadeh, L. A. Fuzzy sets, Information and Control 8, 338–353, 1965.