Erratum to: Upper semi-continuous set-valued functions
نویسندگان
چکیده
منابع مشابه
Inverse Limits of Upper Semi-continuous Set Valued Functions
In this article we define the inverse limit of an inverse sequence (X1, f1), (X2, f2), (X3, f3), . . . where each Xi is a compact Hausdorff space and each fi is an upper semi-continuous function from Xi+1 into 2i . Conditions are given under which the inverse limit is a Hausdorff continuum and examples are given to illustrate the nature of these inverse limits.
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In this paper we present a sequence f2, f3, f4, . . . of upper semi-continuous set-valued functions with the property that the graph of fn n is not connected but the graph of fk n is connected for 1 ≤ k < n. Thus, for each positive integer n, lim ←−n is not connected but the difficulty of detecting this fact increases with n.
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In this paper we investigate continuous and upper and lower semi-continuous real functions in the framework of TTE, Type-2 Theory of EEectivity. First some basic facts about TTE are summarized. For each of the function spaces, we introduce several natural representations based on diierent intiuitive concepts of \eeectivity" and prove their equivalence. Computability of several operations on the...
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متن کاملMonotone set-valued functions defined by set-valued Choquet integrals
In this paper, some properties of the monotone set-valued function defined by the set-valued Choquet integral are discussed. It is shown that several important structural characteristics of the original set function, such as null-additivity, strong order continuity, property(S) and pseudometric generating property, etc., are preserved by the new set-valued function. It is also shown that integr...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1985
ISSN: 0001-5962
DOI: 10.1007/bf02392540