Results 11 to 20 of about 100 (90)
Polishness of the Wijsman topology revisited [PDF]
Proceedings of the American Mathematical Society, 1998 Let X X be a completely metrizable space. Then the space of nonempty closed subsets of
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New Convergence Definitions for Sequences of Sets
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman I‐convergence and Wijsman I*‐convergence for sequences of sets and establish some basic theorems. Furthermore, we introduce the concepts of Wijsman I‐Cauchy sequence and Wijsman I*‐Cauchy sequence and then study their certain properties.
Ömer Kişi +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 729-739, 2000., 2000 Approach uniformities were introduced in Lowen and Windels (1998) as the canonical generalization of both metric spaces and uniform spaces. This text presents in this new context of “quantitative” uniform spaces, a reflective completion theory which generalizes the well‐known completions of metric and uniform spaces. This completion behaves nicely with
Robert Lowen, Bart Windels
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A Unif: A common supercategory of pMET and Unif
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 1-18, 1998., 1997 In order to have a topological category that contains both pMET and Unif in a nice way (and therefore combines quantitative and uniform concepts), approach uniformities are introduced. Approach uniformities uniformize the so‐called approach spaces, introduced in Lowen [8]. Different characterizations of approach uniformities are formulated.
R. Lowen, B. Windels
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Selections of set‐valued stochastic processes
International Journal of Stochastic Analysis, Volume 11, Issue 1, Page 73-78, 1998., 1997 We show that ℱt‐adapted, set‐valued stochastic processes satisfying mild continuity conditions admit, ℱt‐adapted, stochastically continuous selections.
Mariusz Michta, Longin E. Rybiński
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Embeddings in the Fell and Wijsman topologies
Filomat, 2019 It is shown that if a T2 topological space X contains a closed uncountable discrete subspace, then the spaces (?1 + 1)? and (?1 + 1)?1 embed into (CL(X),?F), the hyperspace of nonempty closed subsets of X equipped with the Fell topology. If (X, d) is a non-separable perfect topological space, then (?1 + 1)? and (?1 +1)?1 embed into (CL(X), ?
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Business Strategy and the Environment, Volume 33, Issue 5, Page 4652-4693, July 2024.Abstract In many European countries with plentiful forest resources, novel forest‐based businesses play a key role in the transition from our current fossil‐based economy towards a circular bioeconomy. For example, kraft lignin, a by‐product from the pulping industry, is produced in large amounts globally.
Julia Wenger +5 more
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Three open problems on the Wijsman topology
, 2016 Since it first emerged in Wijsman's seminal work [29], the Wijsman topology has been intensively studied in the past 50 years. In particular, topological properties of Wijsman hyperspaces, relationships between the Wijsman topology and other hyperspace topologies, and applications of the Wijsman topology in analysis have been explored.
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Level sets of depth measures in abstract spaces. [PDF]
Test (Madr), 2023 Cholaquidis A, Fraiman R, Moreno L.
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Dopaminergic Gene Dosage Reveals Distinct Biological Partitions between Autism and Developmental Delay as Revealed by Complex Network Analysis and Machine Learning Approaches. [PDF]
J Pers Med, 2022 Santos A +3 more
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