Results 21 to 30 of about 118,692,044 (90)
Selectors for sequences of subsets of hyperspaces [PDF]
, 2020 For a Hausdorff space X we denote by 2X the family of all closed subsets of X. In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X.
Osipov, A. V.
core +1 more source
Hexagonal and Trigonal Quasiperiodic Tilings
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Exploring nonminimal‐rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long‐range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting aperiodic long‐range order with hexagonal ...
Sam Coates +6 more
wiley +1 more source
Partial actions of groups on hyperspaces [PDF]
, 2022 [EN] Let X be a compact Hausdorff space. In this work we translate partial actions of X to partial actions on some hyperspaces determined by X, this gives an endofunctor 2- in the category of partial actions on compact Hausdorff spaces which generates a ...
Tapia, Héctor Pinedo +2 more
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Reconstructing Curves from Sparse Samples on Riemannian Manifolds
Computer Graphics Forum, Volume 43, Issue 5, August 2024.Abstract Reconstructing 2D curves from sample points has long been a critical challenge in computer graphics, finding essential applications in vector graphics. The design and editing of curves on surfaces has only recently begun to receive attention, primarily relying on human assistance, and where not, limited by very strict sampling conditions.
D. Marin +4 more
wiley +1 more source
, 2003 We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily connected, almost convex metric spaces ...
Constantini, Camillo +3 more
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Topological set theories and hyperuniverses [PDF]
, 2012 We give a new set theoretic system of axioms motivated by a topological intuition: The set of subsets of any set is a topology on that set. On the one hand, this system is a common weakening of Zermelo-Fraenkel set theory ZF, the positive set theory GPK ...
Fackler, Andreas
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Lower semifinite topology in hyperspaces
, 1992 In this paper we use the lower semifinite topology in hyperspaces to obtain examples in topology such as pseudocompact spaces not countably compact, separable spaces not Lindelöf and in a natural way many spaces appear which are T0 but not T1.
Cuchillo Ibáñez, Eduardo +2 more
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Stability for Inference with Persistent Homology Rank Functions
Computer Graphics Forum, Volume 43, Issue 5, August 2024.Abstract Persistent homology barcodes and diagrams are a cornerstone of topological data analysis that capture the “shape” of a wide range of complex data structures, such as point clouds, networks, and functions. However, their use in statistical settings is challenging due to their complex geometric structure. In this paper, we revisit the persistent
Qiquan Wang +4 more
wiley +1 more source
Machine learning in solid mechanics: Application to acoustic metamaterial design
International Journal for Numerical Methods in Engineering, Volume 125, Issue 14, 30 July 2024.Abstract Machine learning (ML) and Deep learning (DL) are increasingly pivotal in the design of advanced metamaterials, seamlessly integrated with material or topology optimization. Their intrinsic capability to predict and interconnect material properties across vast design spaces, often computationally prohibitive for conventional methods, has led to
D. Yago +4 more
wiley +1 more source
NetHD: Neurally Inspired Integration of Communication and Learning in Hyperspace
Advanced Intelligent Systems, Volume 6, Issue 7, July 2024.The 6G network, the next‐generation communication system, is envisaged to provide unprecedented experience through hyperconnectivity involving everything. The communication should hold artificial intelligence‐centric network infrastructures as interconnecting a swarm of machines.
Prathyush P. Poduval +4 more
wiley +1 more source