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On Iterated Limits of Measurable Mappings [PDF]
Canadian Mathematical Bulletin, 1965 Egoroff' s theorem [1] was extended by Kvačko [3] to functions with values in a separable metric space; and, as is easily seen, this result applies also to separable pseudometric spaces. In the present note we shall use this theorem to obtain some propositions on iterated limits, which, despite their simplicity, seem not yet to be known in the proposed
Elias Zakon
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Iterated and double limits [PDF]
Annales Polonici Mathematici, 1986 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul R. Beesack
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Iterated limits in 𝑁*(𝑈ⁿ) [PDF]
Transactions of the American Mathematical Society, 1973 It is shown that if f is in N ∗
Carl Stephen Davis
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Topology and its Applications, 2002 Let a compact Hausdorff space X be the limit of a cofinite inverse system of compact Hausdorff spaces Xλ, X=limλXλ. Then it is possible to express every Xλ as the limit of an inverse system of compact polyhedra Yλμ, Xλ=limμYλμ, in such a way that the spaces Yν=Yλμ can be organized in an inverse system with limνYν=limλ limμYλμ.
Mardešić, Sibe, Uglešić, Nikica
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Proceedings of the American Mathematical Society, 1990 Let v and u be, respectively n-superharmonic and n-harmonic functions on the product of n harmonic spaces. We prove that the iterated fine limits of V exist and are independent of the order, for A almost every minimal U boundary element where A represents the function u.
Kohur GowriSankaran
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MathematicsIn this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator.
Ion Mierluș–Mazilu, Lucian Niță
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Double Sequences and Iterated Limits in Regular Space
Formalized Mathematics, 2016 Abstract First, we define in Mizar [5], the Cartesian product of two filters bases and the Cartesian product of two filters. After comparing the product of two Fréchet filters on ℕ (F1) with the Fréchet filter on ℕ × ℕ (F2), we compare limF₁ and limF₂ for all double sequences in a non empty topological space.
Roland Coghetto, Coghetto, Roland
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Iterated Nontangential Limits [PDF]
Transactions of the American Mathematical Society, 1975 K. Gowrisankaran
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Robust Inference after Random Projections via Hellinger Distance for Location-Scale Family
Entropy, 2019 Big data and streaming data are encountered in a variety of contemporary applications in business and industry. In such cases, it is common to use random projections to reduce the dimension of the data yielding compressed data. These data however possess
Lei Li +3 more
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Iterated AGM Revision Based on Probability Revision
, 2023 Close connections between probability theory and the theory of belief change emerge if the codomain of probability functions is extended from the real-valued interval [0, 1] to a hyperreal interval with the same limits.
Sven Ove Hansson +2 more
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