Results 1 to 10 of about 4,593 (169)
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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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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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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Mathematics, 2022 The Cauchy problem for a nonlinear system of differential equations with a Stieltjes integral (loads) of the desired solution is considered. The equation contains bifurcation parameters where the system has a trivial solution for any values.
Nikolai Sidorov, Denis Sidorov
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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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Improved Homotopy Perturbation Method for Geometrically Nonlinear Analysis of Space Trusses
Applied Sciences, 2020 The objective of this study is to explore a noble application of the improved homotopy perturbation procedure bases in structural engineering by applying it to the geometrically nonlinear analysis of the space trusses. The improved perturbation algorithm
Hamzeh Dehghani +3 more
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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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Mathematics, 2020 A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.
Donal O’Regan
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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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