Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390442 | Fuzzy Sets and Systems | 2008 | 9 Pages |
Abstract
The present paper introduces the concepts of a complete ξ-grill, a concept similar to that of a bunch in classical theory, and of an L-merotopy. The study of the order structure as well as the topological structure on the family of all complete ξ-grills on an L-merotopic space (LX,ξ) is undertaken; corresponding to each L-Čech closure operator on a set X, an L-merotopy on X is obtained. An (L,n)-merotopy on X is also introduced and studied.
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