Results 21 to 30 of about 416 (159)

Topologies on Superspaces of TVS-Cone Metric Spaces

The Scientific World Journal, 2014
This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively.
Xun Ge, Shou Lin
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Persistent homology in graph power filtrations [PDF]

Royal Society Open Science, 2016
The persistence of homological features in simplicial complex representations of big datasets in Rn resulting from Vietoris–Rips or Čech filtrations is commonly used to probe the topological structure of such datasets.
Allen D. Parks, David J. Marchette
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Method for persistent topological features extraction of schizophrenia patients’ electroencephalography signal based on persistent homology

Frontiers in Computational Neuroscience, 2022
With the development of network science and graph theory, brain network research has unique advantages in explaining those mental diseases, the neural mechanism of which is unclear.
Guangxing Guo, Guangxing Guo, Guangxing Guo, Yanli Zhao, Chenxu Liu, Yongcan Fu, Xinhua Xi, Lizhong Jin, Dongli Shi, Lin Wang, Yonghong Duan, Jie Huang, Shuping Tan, Guimei Yin   +13 more
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Cellular-compact and cellular-Lindelöf on hyperspaces

Researches in Mathematics
The generalized metric properties on hyperspaces with the Pixley-Roy topology and the Vietoris topology have been studied by many authors. They considered several generalized metric properties and studied the relation between a space $X$ satisfying such ...
L.Q. Tuyen, O.V. Tuyen, N.X. Truc
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Entanglement, space-time and the Mayer-Vietoris theorem

Journal of High Energy Physics, 2017
Entanglement appears to be a fundamental building block of quantum gravity leading to new principles underlying the nature of quantum space-time. One such principle is the ER-EPR duality.
Andrei T. Patrascu
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Lower-Vietoris-type topologies on hyperspaces

Topology and its Applications, 2017
14 ...
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Selections and order-like relations

Applied General Topology, 2001
Every selection f for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation on X by  if and only . In the present paper we study the relationship between and the possible topologies T on X which realize the ...
Valentin Gutev, Tsugunori Nogura
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Orderability and continuous selections for Wijsman and Vietoris hyperspaces

Applied General Topology, 2003
Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the macro-topologies.
Debora Di Caprio, Stephen Watson
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Selection principles in hyperspaces with generalized Vietoris topologies

Topology and its Applications, 2008
In [J. Korean Math. Soc. 43, No.~5, 1099--1114 (2006; Zbl 1113.54006)] and [Topology Appl. 155, No.~17--18, 1947--1958 (2008; Zbl 1221.54004)], the authors investigated hyperspaces on a Čech closure space, in particular the question of what topologies could be considered as well as what results were still valid in this setting.
Mršević, Mila, Jelić, Milena
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All hypertopologies are hit-and-miss

Applied General Topology, 2002
We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance.
Somshekhar Naimpally
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