Results 11 to 20 of about 33,151 (213)
COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]
, 2013 In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
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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 pull-back squares up to localization
, 2006 We characterize the class of homotopy pull-back squares by means of elementary closure properties. The so called Puppe theorem which identifies the homotopy fiber of certain maps constructed as homotopy colimits is a straightforward consequence. Likewise
Pitsch, Wolfgang, +2 more
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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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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 [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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