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A remark on the separable extension property 关于可分可拓性的注解
Pub Date : 1987-06-22 DOI: 10.1016/S1385-7258(87)80039-2
Jan van Mill , Roman Pol

We present an example of a metrizable space having the separable extension property but which is not an Absolute Neighborhood Retract.

我们给出了一个具有可分扩展性质但不是绝对邻域收缩的可度量空间的例子。
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引用次数: 1
Weak-type inequalities for Kantorovitch polynomials and related operators Kantorovitch多项式及相关算子的弱型不等式
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80011-2
Erich van Wickeren

Continuing previous investigations concerning Bernstein polynomials, the purpose of this paper is to establish the weak-type inequality (fLp(0,1),n∈ℕ)ωϕ(n1/2,f)Μpn1k=1n||KKf-f||pin terms of the Kantorovitch polynomial Kkƒ and the modulus of continuity (ϕ2(x): = x(1 − x))ωϕ(t,f):=sup0<ht||Δhϕ2f||p+sup0<ht2||Δh2f||p.Such estimates which immediately imply well-known inverse results are also obtained for the Kantorovitch version of the Szász-Mirakjan and Baskakov operators, respectively.

延续先前关于Bernstein多项式的研究,本文的目的是建立弱型不等式(f∈Lp(0,1),n∈∈_1)ω φ (n−1/2,f)≤Μpn−1∑k=1n||KKf-f||引脚项kkf和连续性模(ϕ2(x): = x(1−x))ω φ (t,f):=sup (0) <h≤t||Δhϕ2f||p+sup (0 <h≤t2||Δh2f||p。这种立即意味着众所周知的逆结果的估计也分别为Szász-Mirakjan和Baskakov算子的Kantorovitch版本获得。
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引用次数: 14
Curves of twice the minimal class on principally polarized abelian varieties 主极化阿贝尔变体上的二次极小类曲线
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80010-0
G.E. Welters
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引用次数: 37
Eine kennzeichnung der oktavenebene 百度标志
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80004-5
Hermann Hähl

We consider partitions of ℝ16 into pairwise complementary 8-dimensional subspaces whose union covers ℝ16 (or, equivalently, fiberings of %plane1D;4AE;15 by great 7-spheres). It is shown that if such a partition is (globally) invariant by a closed subgroup of GL16(ℝ) locally isomorphic to SO7(ℝ,1), then it is linearly equivalent to the classical Hopf partition corresponding to the Cayley numbers %plane1D;4AA;, namely the system of lines through the origin in the affine Cayley plane over %plane1D;4AA;.

我们考虑将一个空间划分为若干对互补的8维子空间,它们的并集覆盖了一个空间(或者,等价地,%plane1D;4AE;15的大7球的纤维)。证明了如果这样的划分是局部同构于SO7(1,1)的GL16(l)闭子群的(全局)不变量,则它线性等价于经典的Hopf划分对应于Cayley数%plane1D;4AA;,即在%plane1D;4AA;上经过仿射Cayley平面上的点的直线系统。
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引用次数: 8
On some finite ramified coverings of Pn 在Pn的有限分支覆盖上
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80002-1
Tsuyoshi Fujiwara

Let S be a hypersurface in Pn (n≧3) with only normal crossings and let ƒ : XPn be a finite ramified covering which is unramified over PnS. Then S. Kawai has shown that there are neither regular 1-forms nor regular 2-forms on X. The aim of this article is to derive a stronger conclusion: H0(X,ΩXp)= 0 for 1≦p<n , and moreover H0(X,ΩXp)= 0 if deg Sn+1.

设S为Pn (n≧3)上只有正规交叉的超曲面,设φ: XPn为Pn−S上没有正规交叉的有限分支覆盖,则S. Kawai证明了X上既不存在正则1-形式,也不存在正则2-形式。本文的目的是推导出一个更有力的结论:对于1≤p≤l;n, H0(X,ΩXp)= 0,对于S≤n+1, H0(X,ΩXp)= 0。
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引用次数: 2
The moduli space of curves of genus three together with an odd theta-characteristic is rational 具有奇特征的三格曲线的模空间是有理的
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80001-X
Fabio Bardelli

In this note we use a “normal form”, due to Sylvester, for the equation of a generic cubic surface in ℙ3(ℂ) to prove that %plane1D;4B0;= {moduli space of pairs (S,P) with S smooth cubic surface, P a point on S} is rational. We then prove that %plane1D;510;3oth = {moduli space of curves of genus three together with one odd theta-characteristic} is birational to %plane1D;4B0; and so rational.

本文利用Sylvester给出的广义三次曲面方程的“正规形式”,证明了%plane1D;4B0;={具有S个光滑三次曲面的对(S,P)的模空间,S}上的点P是有理的。然后证明了%plane1D;510; 30 ={3属曲线和一个奇特征曲线的模空间}与%plane1D;4B0;如此理性。
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引用次数: 2
Non-archimedean topologies of countable type and associated operators 可数类型的非阿基米德拓扑和相关操作符
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80003-3
N. de Grande-de Kimpe

Let K be a non-archimedean, non trivially valued, complete field. Given a dual pair of vector spaces (E, F) over K we study the finest locally convex topology of countable type %plane1D;4A5; on E such that (E%plane1D;4A5;′= F and, given a locally convex space E, %plane1D;4A5; we describe the finest topology of countable type on E coarser than %plane1D;4A5; It is also shown how the class (S0) of spaces of countable type can be obtained from an operator ideal.

设K是一个非阿基米德,非平凡值,完全域。给定K上的一对对偶向量空间(E, F),研究了可计数型%plane1D;4A5;(E%plane1D;4A5; ' = F,且给定局部凸空间E, %plane1D;4A5;我们描述了E上小于%plane1D;4A5;并给出了如何从算子理想中得到可数型空间的类(S0)。
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引用次数: 8
Structure of completely distributive complete lattices 完全分布完备格的结构
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80008-2
Roberto Moresco

Every completely distributive complete lattice is a subdirect product of copies of the lattice {0, 1} and the real unit interval.

每一个完全分布完备格都是格{0,1}的副本与实单位区间的子直积。
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引用次数: 5
A special basis for the Leech lattice Leech晶格的一个特殊基
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80009-4
Harm Voskuil
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引用次数: 2
Bornological spaces of non-Archimedean valued functions 非阿基米德值函数的Bornological空间
Pub Date : 1987-03-30 DOI: 10.1016/S1385-7258(87)80005-7
A.K. Katsaras

Let C(X,E) be the space of all continuous functions from an ultraregular space X to a non-Archimedean locally convex space E. Necessary and/or sufficient conditions are given so that C(X,E), with the topology of uniform convergence on compact sets or with the topology of simple convergence, is bornological or c-ultrabornological.

设C(X,E)为从超正则空间X到非阿基米德局部凸空间E的所有连续函数的空间,给出了C(X,E)在紧集合上一致收敛的拓扑或简单收敛的拓扑是bornological或C -超bornological的充分必要条件。
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引用次数: 7
期刊
Indagationes Mathematicae (Proceedings)
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