共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper, some properties of order topology and bi-Scott topology on a poset are obtained. Order-convergence in posets
is further studied. Especially, a sufficient and necessary condition for order-convergence to be topological is given for
some kind of posets. 相似文献
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Joe Kileel Zuzana Kukelova Tomas Pajdla Bernd Sturmfels 《Foundations of Computational Mathematics》2018,18(4):1043-1071
The distortion varieties of a given projective variety are parametrized by duplicating coordinates and multiplying them with monomials. We study their degrees and defining equations. Exact formulas are obtained for the case of one-parameter distortions. These are based on Chow polytopes and Gröbner bases. Multi-parameter distortions are studied using tropical geometry. The motivation for distortion varieties comes from multi-view geometry in computer vision. Our theory furnishes a new framework for formulating and solving minimal problems for camera models with image distortion. 相似文献
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For metric spaces (X, d
x) and (Y, d
y) we consider the Hausdorff metric topology on the set (CL(X × Y), ρ) of closed subsets of the product metrized by the product (box) metric ρ and consider the proximal topology defined on CL(X × Y). These topologies are inherited by the set G(X, Y) of closed-graph multifunctions from X to Y, if we identify each multifunction with its graph. Finally, we consider the topology of uniform convergence τ
uc on the set F(X, 2Y) of all closed-valued multifunctions, i.e. functions from X to the set (CL(Y),) of closed subsets of Y metrized by the Hausdorff metric . We show the relationship between these topologies on the space G(X, Y) and also on the subspaces of minimal USCO maps and locally bounded densely continuous forms.
This work was supported by Science and Technology Assistance Agency under the contract No. APVT-51-006904. The authors would
like to thank.ubica Holá for suggestions and comments. 相似文献
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Pavel Kurasov 《Arkiv f?r Matematik》2008,46(1):95-111
Laplace operators on metric graphs are considered. It is proven that for compact graphs the spectrum of the Laplace operator
determines the total length, the number of connected components, and the Euler characteristic. For a class of non-compact
graphs the same characteristics are determined by the scattering data consisting of the scattering matrix and the discrete
eigenvalues. 相似文献
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C. H. Cook 《manuscripta mathematica》1984,46(1-3):83-95
Let T be a completely regular topological space. We show that the finest Nachbin topology on C(T) is the finest locally convex topology on C(T) that coincides with the compact open topology on the order bounded intervals of C(T). 相似文献
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A space-periodic ground state is shown to exist for lattices of point ions in R3 coupled to the Schrödinger and scalar fields. The coupling requires renormalization due to the singularity of the Coulomb self-action. The ground state is constructed by minimizing the renormalized energy per cell. This energy is bounded from below when the charge of each ion is positive. The elementary cell is necessarily neutral. 相似文献
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Chun-Ling Song Lin Xie Zun-Quan Xia 《Journal of Applied Mathematics and Computing》2004,15(1-2):323-331
A new topology in terms of order on fuzzy sets, revealing better the relationship between smooth topology and Chang’s fuzzy topology, is presented in the paper. Some basic properties are discussed. 相似文献
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Pekka Koskela Aleksandra Zapadinskaya Thomas Zürcher 《Journal of Geometric Analysis》2010,20(3):690-704
We study how planar Sobolev homeomorphisms distort sets of Hausdorff dimension strictly less than two. We measure the image
size by means of a generalized Hausdorff measure. As an application, we obtain a sharp generalized dimension distortion estimate
for mappings of exponentially integrable distortion. 相似文献
13.
In this paper, the notions of topology on soft subsets and soft topology have been introduced. Some basic properties of these
topologies are studied. Also the definition of continuity of soft mappings in both the topologies is given with their properties
studied. 相似文献
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In this paper we study topologizability of structures. We extend the method of Kotov of topologizability of countable algebras to uncountable structures. We also show that in the case of topologizable relational countable structures the topology can be made metrizable. 相似文献
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We apply ideas from commutative algebra, and Morita theory to algebraic topology using ring spectra. This allows us to prove new duality results in algebra and topology, and to view (1) Poincaré duality for manifolds, (2) Gorenstein duality for commutative rings, (3) Benson–Carlson duality for cohomology rings of finite groups, (4) Poincaré duality for groups and (5) Gross–Hopkins duality in chromatic stable homotopy theory as examples of a single phenomenon. 相似文献