An alternate characterization of continuity
نویسندگان
چکیده
منابع مشابه
Alternate version of continuity for digital multivalued functions
We study connectivity preserving multivalued functions [10] between digital images. This notion generalizes that of continuous multivalued functions [6, 7] studied mostly in the setting of the digital plane Z. We show that connectivity preserving multivalued functions, like continuous multivalued functions, are appropriate models for digital morpholological operations. Connectivity preservation...
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The following propositions are true: (1) Let S, T be non empty relational structures and f be a map from S into T. Suppose f is one-to-one and onto. Then f · f −1 = id T and f −1 · f = id S and f −1 is one-to-one and onto. (2) Let X, Y be non empty sets, Z be a non empty relational structure, S be a non empty relational substructure of Z [: X,Y :] , T be a non empty relational substructure of (...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0315653-x