Let X be a Hausdorff topological space and let Q(X,R) be the space of all quasicontinuous functions on X with values in R and τp be the topology of pointwise convergence. We prove that Q(X,R) is dense in RX equipped with the product topology. We characterize some cardinal invariants...
topology of pointwise convergenceIn [HOL, .—HOL, D.: Pointwise convergence of quasicontinuous mappings and Baire spaces, Rocky Mountain J. Math.] a complete answer is given, for a Baire space X, to the question of when the pointwise limit of a sequence of real-valued quasicontinuous ...
topology of pointwise convergence【数】 点态收敛拓扑文献(pubmed) 赞助商链接以下为句子列表:英文: Hierarchizing and decomposing the triangular incidence matrix, topology information of network is extracted, which is suitable for network topology identification of common tree structure, even suitable for ...
Let be the set of all real-valued continuous functions defined on . For any and for any , define . If we restrict to and restrict to open sets, then the set of all is a subbase for a topology on . This topology is called the pointwise convergence topology. The function space with ...
topology of pointwise convergencecardinal functionweightdensitynetweightcellularityWe consider the space D ( X, Y ) of densely continuous forms introduced by Hammer and McCoy [5] and investigated also by Holá [6]. We show some additional properties of D ( X, Y ) and investigate the subspace ...
Now consider , the space of real-valued continuous functions defined on endowed with the pointwise convergence topology. The space is normal and not Lindelof, hence not paracompact (discussed here). The space is also homeomorphic to a -product of many copies of the real lines. By the same ...
Cantor had shown in 1870 that two Fourier series that converge pointwise to the same limit function have the same coefficients. In 1871 he improved this theorem by proving that the coefficients have to be the same also when convergence and equality of the limits hold for all points outside a...
A material corner of 270° is generated with a high stress concentration, as shown in Fig. 6.42B. Therefore, this solution would only be reasonable for the stiffness maximization but should be avoided in strength design by the engineering intuition. Fig. 6.42C illustrates the convergence ...
In [HOLÁ, Ľ.—HOLÝ, D.: Pointwise convergence of quasicontinuous mappings and Baire spaces, Rocky Mountain J. Math.] a complete answer is given, for a Baire space X, to the question of when the pointwise limit of a sequence of real-valued quasic
3) topology of pointwise convergence 点式收敛拓扑4) Topological convergence 拓扑收敛 1. The Topological Convergence of the Cone Weak Subdifferential of Set-valued Mapping Sequence; 在文[3] 的基础上 ,给出了集值映射序列的锥次微分的拓扑收敛性概念 ,建立了集值映射序列的锥弱次微分的拓扑收敛的几...