共查询到20条相似文献,搜索用时 218 毫秒
1.
The adjoint relation between the category RegFrm, of regular -frames, Alex, of Alexandroff spaces, are studied in [9]. Here, we introduce the category MFrm, of metric -frames and give the adjoint relation between this category and the category MLSp, of metric Lindelof spaces, and show that MLSp is dually equivalent to the category of Alexandroff metric -frames.AMS Subject Classification: 06D99-54B30 相似文献
2.
WANG Gui-xia 《数学季刊》2007,22(4):602-606
In this paper we give the proof about the equivalence of the complete Einstein- Kahler metric and the Bergman metric on Cartan-Hartogs domain of the third type. And we obtain the method of getting the equivalence of two metrics. 相似文献
3.
Li Qingguo 《模糊系统与数学》1998,(3)
DeMorganAlgebraofMetricⅢDeMorganAlgebraofMetricⅢWeiJun(YanchengInstituteofTechnology,Yancheng,224003)WangZhudeng(YanchengTech... 相似文献
4.
WANG Gui-xia 《数学季刊》2007,(4)
In this paper we give the proof about the equivalence of the complete Einstein- K■hler metric and the Bergman metric on Cartan-Hartogs domain of the third type. And we obtain the method of getting the equivalence of two metrics. 相似文献
5.
Huynh Van Ngai Nguyen Huu Tron Michel Théra 《Journal of Optimization Theory and Applications》2016,168(3):785-801
This paper studies the first-order behavior of the value function of a parametric optimal control problem with nonconvex cost functions and control constraints. By establishing an abstract result on the Fréchet subdifferential of the value function of a parametric minimization problem, we derive a formula for computing the Fréchet subdifferential of the value function to a parametric optimal control problem. The obtained results improve and extend some previous results. 相似文献
6.
In this paper the relation between the σ-images of metrical spaces and spaces with σ-locally finite cs-network, or spaces with σ-locally finite cs^*-network, or spaces with σ-locally finite sequence neighborhood network, or spaces with σ-locally finite sequence open network are established by use of σ-mapping. 相似文献
7.
Guillaume Valette 《Discrete and Computational Geometry》2010,43(3):663-679
We study the multiplicity modulo 2 of real analytic hypersurfaces. We prove that, under some assumptions on the singularity,
the multiplicity modulo 2 is preserved by subanalytic bi-Lipschitz homeomorphisms of ℝ
n
. In the first part of the paper, we find a subset of the tangent cone which determines the multiplicity mod 2 and prove that this subset of S
n
is preserved by the antipodal map. The study of such subsets of S
n
enables us to deduce the subanalytic metric invariance of the multiplicity modulo 2 under some extra assumptions on the tangent
cone. We also prove a real version of a theorem of Comte, and yield that the multiplicity modulo 2 is preserved by arc-analytic
bi-Lipschitz homeomorphisms. 相似文献
8.
Li Kedian 《东北数学》1998,(2)
TheStrongCompact┐coveringss┐imagesofMetricSpacesLiKedian(李克典)(DepartmentofMathematics,ShangqiuTeachers'Colege,Henan,476000)Ab... 相似文献
9.
10.
Sylvester conjectured in 1893 and Gallai proved some 40 years later
that every finite set S of points in the plane includes two points
such that the line passing through them includes either no other point
of S or all other points of S. There are several ways of extending
the notion of lines from Euclidean spaces to arbitrary metric spaces.
We present one of them and conjecture that, with lines in metric
spaces defined in this way, the Sylvester--Gallai theorem generalizes
as follows: in every finite metric space there is a line consisting
of either two points or all the points of the space. Then we present
meagre evidence in support of this rash conjecture and finally we
discuss the underlying ternary relation of metric betweenness. 相似文献
11.
This paper gives an internal characterization of the quotient compact images of metric spaces, which answers a question posed by Arhangel'skii; and an example is constructed to show that the quotient compact images of metric spaces are not preserved by perfect maps. 相似文献
12.
Theorem 1 Let X be a nonempty countable set, K={: is a discrete metric space}, define ≌ iff((?)f) (f is an equilong isomorphism from to , for a given ∈K, define = { ∈K: ≌}. Let C={: ∈K},then |C|=|K|=|{d:d is a metric on X}|=2~((?)0) The Theorem 2 illustrates that there exists a nonempty countable set X on which we can define 2~((?)0) nondiscrete metric spaces such that they are not isomorphic each other. 相似文献
13.
Yan Li 《Journal of Geometric Analysis》2018,28(2):950-982
In this paper we research the differential geometric and algebro-geometric properties of the noncollapsing limit in the conical continuity equation which generalize the theory in La Nave et al. in Bounding diameter of singular Kähler metric, arXiv:1503.03159v1 [23]. 相似文献
14.
Two Results on Metric Addition in Spherical Space 总被引:1,自引:0,他引:1
We establish the concept of metric addition in spherical space and obtain two related results. 相似文献
15.
§1. PreliminariesLetMbea(2n+1)-dimensionalcontactmetricmanifoldwithstructuretensors(Φ-,ξ-,η-,g).ThentheysatisfyΦ-ξ-=0,η-(ξ-)=1,Φ-2=-I+η-ξ-,η-(X)=g(X,ξ-), g(Φ-X,Φ-Y)=g(X,Y)-η-(X)η-(Y),g(X,Φ-Y)=dη-(X,Y)(1.1)ForanyvectorfieldsXandY… 相似文献
16.
17.
Let W(ψ) denote the set of ψ-well approximable points in
and let K be a compact subset of
which supports a measure μ. In this short article, we show that if μ is an ‘absolutely friendly’ measure and a certain μ-volume
sum converges then
The result obtained is in some sense analogous to the convergence part of Khintchine’s classical theorem in the theory of
metric Diophantine approximation. The class of absolutely friendly measures is a subclass of the friendly measures introduced
in [2] and includes measures supported on self-similar sets satisfying the open set condition. We also obtain an upper bound
result for the Hausdorff dimension of
相似文献
18.
Tae Wan KIM Hong Kyung PAK 《数学学报(英文版)》2005,21(4):841-846
The purpose of this paper is to study the canonical foliations of an almost cosymplectic or almost Kenmotsu manifold M in a unified way. We prove that the canonical foliation F defined by the contact distribution is Riemannian and tangentially almost Kahler of codimension 1 and that F is tangentially Kahler if the manifold M is normal. Furthermore, we show that a semi-invariant submanifold N of such a manifold M admits a canonical foliation FN which is defined by the antiinvariant distribution and a canonical cohomology class c(N) generated by a transversal volume form for FN. In addition, we investigate the conditions when the even-dimensional cohomology classes of N are non-trivial. Finally, we compute the Godbillon Vey class for FN. 相似文献
19.
Daniel Lenz Carsten Schubert Peter Stollmann 《Integral Equations and Operator Theory》2008,62(4):541-553
We construct an expansion in generalized eigenfunctions for Schr?dinger operators on metric graphs. We require rather minimal
assumptions concerning the graph structure and the boundary conditions at the vertices.
相似文献
20.
Oliver Kley 《Journal of Theoretical Probability》2013,26(3):649-665
Let T be a precompact subset of a Hilbert space. We make use of a precise link between the absolutely convex hull $\operatorname{aco}(T)$ and the reproducing kernel Hilbert space of a Gaussian random variable constructed from T. Firstly, we avail ourselves of it for optimality considerations concerning the well-known Kuelbs–Li inequalities. Secondly, this enables us to apply small deviation results to the problem of estimating the metric entropy of $\operatorname{aco}(T)$ in dependence of the metric entropy of T. 相似文献