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81.
Oliver Cooley Nicola Del Giudice Mihyun Kang Philipp Sprüssel 《Random Structures and Algorithms》2020,56(2):461-500
We consider k‐dimensional random simplicial complexes generated from the binomial random (k + 1)‐uniform hypergraph by taking the downward‐closure. For 1 ≤ j ≤ k ? 1, we determine when all cohomology groups with coefficients in from dimension one up to j vanish and the zero‐th cohomology group is isomorphic to . This property is not deterministically monotone for this model, but nevertheless we show that it has a single sharp threshold. Moreover we prove a hitting time result, relating the vanishing of these cohomology groups to the disappearance of the last minimal obstruction. We also study the asymptotic distribution of the dimension of the j‐th cohomology group inside the critical window. As a corollary, we deduce a hitting time result for a different model of random simplicial complexes introduced by Linial and Meshulam, previously only known for dimension two. 相似文献
82.
马达才 《应用数学与计算数学学报》1997,11(2):68-71
本文介绍了严有效解的概念,并在[1]工作的基础上进一步研究了锥连续拟凸映射的严有效的连通性。 相似文献
83.
黄土森 《宁波大学学报(理工版)》1998,(4)
证明紧致度量空间的具有Hausdorff度量的闭集空间的紧致性与连通性,并给出连通的紧致度量空间的连通分支与相应的闭集空间的连通分支之间关系的一个条件. 相似文献
84.
This article shows that in Aharonov-Bohm (AB) effect arrangements, the electron wave propagation spaceis doubly connected for two real coherent sources, and simply connected under certain condition for two virtual coherentsources, and all known AB experiments belong to the latter case. By the Feynman path integral method, we show thatin the former case there is no AB effect, whereas in the latter case there is. 相似文献
85.
86.
New Saddle Point Theorem Beyond Topological Vector Spaces 总被引:1,自引:0,他引:1
The purpose of this note is to prove a new topological saddle-point theorem, which in turn includes classical saddle-point theorems such as the Sion minimax theorem and others in topological vector spaces as special cases. 相似文献
87.
Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems 总被引:3,自引:0,他引:3
X. H. Gong 《Journal of Optimization Theory and Applications》2007,133(2):151-161
In this paper, we introduce the concepts of globally efficient solution and cone-Benson efficient solution for a vector equilibrium
problem; we give some scalarization results for Henig efficient solution sets, globally efficient solution sets, weak efficient
solution sets, and cone-Benson efficient solution sets in locally convex spaces. Using the scalarization results, we show
the connectedness and path connectedness of weak efficient solution sets and various proper efficient solution sets of vector
equilibrium problem.
This research was partially supported by the National Natural Science Foundation of China and the Natural Science Foundation
of Jinxing Province, China. 相似文献
88.
89.
Ravi P. Agarwal Ghaus Ur Rahman Muhsina 《Mathematical Methods in the Applied Sciences》2023,46(2):2801-2839
In this article, we formulate fractional differential inclusion of pantograph type (IFDIP), incorporating impulsive behavior of the solution. The boundary conditions taken into account are nonlocal in nature. We will consider the convex problem and prove the Filippov–Wazewski-type theorem. Moreover, existence of solution, uniqueness of a solution, and the topological properties of the solution's set will be examined for the problem under consideration. In the second part, the study will be confined to the second-order impulsive fractional differential equation of pantograph type. For certain geometric characteristics of the solution's set, Aronszajn–Browder–Gupta-type results will be explored for the newly introduced differential equation. Also, it will prove the existence of solution for the first-order fractional differential equation of pantograph type having impulsive behavior of the solution. 相似文献
90.