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Local Compactness in L-Fuzzy Spaces

Abstract (2. Language): 
In an L-topological space we present good definitions for local compactness, weak local compactness and relative local compactness. We obtain the equivalence of these properties in a Haus-dorff space and we also obtain a one point compactification theorem.

REFERENCES

References: 

[1] G. Gierz et al., A compendium of continuous lattices, Springer-Verlag, 1980. [2] S.R.T. Kudri. "Compacness in L-fuzzy topological spaces", Fuzzy sets and systems 67, (1994) 329-446.
[3] S.R.T. Kudri. "L-fuzzy local compactness", Fuzzy sets and systems 67, (1994) 337-345. [4] PM. Piu, Y.M. Liu, "Fuzzy topologyI, neighbourhood structure of a fuzzy point and Moore-Smith convergence", J.Math.Anal.Appl. 76, (1980)
REFERENCES 161 [5] M. W. Warner and R. G. McLean, "On compacthausdorffL-fuzzy spaces", Fuzzy Sets and Systems
56, (1993) 103-110.
[6] M.W Warner, Frame-fuzzy points and memberschip, Fuzzy Sets and Systems 42 (1991) 335-344. [ 7] M.W. Warner, Fuzzy topology with respect to continuous lattices, Fuzzy Sets and Systems 35
(1990) 85-91.

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