Results 171 to 180 of about 707 (188)

Relations approximated by continuous functions in the Vietoris topology

Fundamenta Mathematicae, 2007
LetX be a Tikhonov space,C(X) be the space of all continuous real- valued functions defined onX, and CL(X × R) be the hyperspace of all nonempty closed subsets ofX × R. We prove the following result: LetX be a locally connected locally compact paracompact space, and letF 2 CL(X × R).
L'. Holá, R. A. McCoy
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Approximating C_free Space Topology by Constructing Vietoris-Rips Complex

2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2019
We present a new way of constructing sparse roadmaps using point clouds that approximates and measures the underlying topology of the C free space. The main advantage of the constructed roadmap is its homotopy equivalence to the η-offset of the C free space.
Aakriti Upadhyay, Weifu Wang 0001, Chinwe Ekenna   +2 more
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Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity

2015
Summary: In this paper, we consider continuity properties (especially, regularity, also viewed as an approximation property) for \(\mathcal{P}_{0}(X)\)-valued set multifunctions (\(X\) being a linear, topological space), in order to obtain Egoroff and Lusin type theorems for set multifunctions in the Vietoris hypertopology.
Gavrilut, A., Agop, M.
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Regular Multimeasures in the Vietoris Topology

2022
Alina Gavriluţ, Endre Pap
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Approximation Theorems for Multimeasures in the Vietoris Topology

2022
Alina Gavriluţ, Endre Pap
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The Contributions of L. Vietoris and H. Tietze to the Foundations of General Topology

1997
In his book on uniform structures and general topology, Andre Weil wrote in 1937 [31, footnote (1) on page 4]: “Since the composition of this work H. Cartan [7] has discovered the notion of filter which finally eliminates countability from topology by replacing the notion of sequence and permits important simplifications of the theory of uniform and ...
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A note on fibers and Vietoris topologies of paratopological groups 1

Quaestiones Mathematicae
If f : G → Y is an irreducible closed continuous mapping defined on a regular weakly collectionwise normal first-countable meta-Lindelöf locally σ paratopological group G onto a T1 -space Y which has a neighborhood ωω -base at a point y ∈ Y , then f −1 (y) is σ-compact in G. We prove that if a Fréchet-Urysohn space X has strong α4-property and a weakly
Deng, Yu-Ming, Peng, Liang-Xue
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Vietoris thickenings and complexes are weakly homotopy equivalent

Journal of Applied and Computational Topology, 2023
Patrick Gillespie
exaly  

On Vietoris–Rips complexes of hypercube graphs

Journal of Applied and Computational Topology, 2021
Michał Adamaszek, Henry Adams, Adamaszek Michał   +2 more
exaly  

The Vietoris Topology

1996
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