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Weakly induced fuzzy topological spaces. (English) Zbl 0463.54007


MSC:

54A40 Fuzzy topology
54D30 Compactness
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
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References:

[1] T. E. Gantner, R. C. Steinlage, and R. H. WarrenJ. Math. Anal. Appl.; T. E. Gantner, R. C. Steinlage, and R. H. WarrenJ. Math. Anal. Appl. · Zbl 0372.54001
[2] Goguen, J. A., The fuzzy Tychonoff theorem, J. Math. Anal. Appl., 43, 734-742 (1973) · Zbl 0278.54003
[3] Lowen, R., Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl., 56, 621-633 (1976) · Zbl 0342.54003
[4] Lowen, R., Initial and final fuzzy topologies and the fuzzy Tychonoff theorem, J. Math. Anal. Appl., 58, 11-21 (1977) · Zbl 0347.54002
[5] Lowen, R., A comparison of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl., 64, 446-454 (1978) · Zbl 0381.54004
[6] Lowen, R., Compact Hausdorff fuzzy topological spaces are Hausdorff, Notices Amer. Math. Soc., 26, A-445 (1979)
[7] H. W. MartinJ. Math. Anal. Appl.; H. W. MartinJ. Math. Anal. Appl.
[8] R. H. WarrenRocky Mountain J. Math.; R. H. WarrenRocky Mountain J. Math. · Zbl 0394.54003
[9] Weiss, M. D., Fixed points, separation, and induced topologies for fuzzy sets, J. Math. Anal. Appl., 50, 142-150 (1975) · Zbl 0297.54004
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