منابع مشابه
Cell-like Mappings and Their Generalizations
Cell-like maps are those whose point-inverses are cell-like spaces (as subspaces of the domain). A space is cell-like if it is homeomorphic to a cellular subset of some manifold. This definition was given in 1968, at which time I began to study proper, cell-like maps between euclidean neighborhood retracts (ENR's). At the time, I pointed out that such maps form a category which includes proper,...
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In this paper, we study inverses and quotients of mappings between ordered sets, in particular between complete lattices, which are analogous to inverses and quotients of positive numbers. We investigate to what extent a generalized inverse can serve as a left inverse and as a right inverse, and how an inverse of an inverse relates to the identity mapping. The generalized inverses and quotients...
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In this contribution, we study some aspects of the mathematical representation of the solutions of problems encountered in everyday life, called evaluation problems. These problems consist in having to check whether objects in a given universe satisfy one or more properties. First, evaluation problems under a single property are considered. It is argued that (partial-pre)order relations play a ...
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Let S and T be hyperfinite sets in an N]-saturated nonstandard universe. The following are equivalent: m 1*1 ~ l (l) rff ~ • • (ii) There is a bijection from 5 onto T whose graph is Borel (over the internal subsets of S x T). This follows from somewhat more general results about analytic partial functions on hyperfinite sets, the proofs of which use Choquet's theorem on the capacitibility of an...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.2307/2044491