Results 1 to 10 of about 101,782 (200)
Fundamental Groupoids for Graphs [PDF]
Categories and General Algebraic Structures with Applications, 2022 In recent years several notions of discrete homotopy for graphs have been introduced, including a notion of ×-homotopy due to Dochtermann. In this paper, we define a ×-homotopy fundamental groupoid for graphs, and prove that it is a functorial ×-homotopy
Tien Chih, Laura Scull
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Вестник Самарского университета: Естественнонаучная серия, 2023 In this short communication we prove that the subspace Pn,n−1(X)of all probability measures P(X), whose supports consist of exactly n points is an (n−1)-dimensional topological manifold.
Mikhail V. Dolgopolov +1 more
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Homotopy and uniform homotopy [PDF]
Transactions of the American Mathematical Society, 1978 An elementary proof of the Bounded Lifting Lemma is given, together with a proof that homotopy and uniform homotopy do not agree for maps into compact spaces with infinite fundamental groups even though they can agree for maps into a noncompact space with infinite fundamental group.
Calder, Allan, Siegel, Jerrold
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UWB Based Relative Planar Localization with Enhanced Precision for Intelligent Vehicles
Actuators, 2021 Along with the rapid development of advanced driving assistance systems for intelligent vehicles, essential functions such as forward collision warning and collaborative cruise control need to detect the relative positions of surrounding vehicles.
Mingyang Wang +5 more
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Energies, 2023 This paper proposes a homotopy-based approach to solve the power flow problem (PFP) in islanded microgrid networks with droop-controlled distributed generation (DG) units.
Alisson Lima-Silva +2 more
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ON THE HOMOTOPY CLASSIFICATION OF POSITIVELYHOMOGENEOUS FUNCTIONS OF THREE VARIABLES
Проблемы анализа, 2021 In this paper, we study the problem of homotopy classification of the set F of positively homogeneous smooth functions in three variables whose gradients do not vanish at nonzero points.This problem is of interest in the study of periodic and bounded ...
E. Mukhamadiev, A. N. Naimov
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Homotopy and Uniform Homotopy. II [PDF]
Proceedings of the American Mathematical Society, 1980 An elementary proof of the Bounded Lifting Lemma is given, together with a proof that homotopy and uniform homotopy do not agree for maps into compact spaces with infinite fundamental groups even though they can agree for maps into a noncompact space with infinite fundamental group.
Calder, Allan, Siegel, Jerrold
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A Topological Coincidence Theory for Multifunctions via Homotopy
Mathematics, 2020 A new simple result is presented which immediately yields the topological transversality theorem for coincidences.
Donal O’Regan
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On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
Mathematics, 2021 In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
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Frontiers in Aging Neuroscience, 2021 Most existing aging studies using functional MRI (fMRI) are based on cross-sectional data but misinterpreted their findings (i.e., age-related differences) as longitudinal outcomes (i.e., aging-related changes).
Xiu-Xia Xing
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