共查询到20条相似文献,搜索用时 15 毫秒
1.
Youhua Qian & Shengmin Chen 《数学研究通讯:英文版》2009,25(2):97-103
Let Aut$_∗(X)$ denote the group of homotopy classes of self-homotopy
equivalences of $X$, which induce identity automorphisms of homology group. We
describe a decomposition of Aut$_∗(X_1∨· · ·∨X_n)$ as a product of its simpler subgroups.
We consider the subgroup Aut$_Σ(X)$ of all self homotopy classes α of $X$ such that $Σα = 1_{ΣX} : ΣX → ΣX$, and also give some properties of Aut$_Σ(X)$. 相似文献
2.
3.
In this paper, we give some properties of regular (LM)-spaces and α-regular (LM)-spaces and investigate the relationship among them. 相似文献
4.
Na SUN 《数学学报(英文版)》2007,23(10):1909-1914
In this paper, we introduce an operator Hμ(z) on L^∞(△) and obtain some of its properties. Some applications of this operator to the extremal problem of quasiconformal mappings are given. In particular, a sufficient condition for a point r in the universal Teichmfiller space T(△) to be a Strebel point is obtained. 相似文献
5.
The purpose of this note is to study the three manifold invariants Qp(ML).For lens spaces L(7,1)and (7,2),we compute Q5(L(7,1) and Q5(L(7.2)) concretely,which enables us to prove that the in-variants can distinguish homotopy equivalence manifolds. 相似文献
6.
7.
8.
9.
SomeResultsConcerningtheConsistencyofLsandLADEstimatesofMultipleRegression(I)JinMingzhong(金明仲)(GuizhouNationalCollege,Guiyang... 相似文献
10.
Hom-Leibniz algebra is a natural generalization of Leibniz algebras and Hom-Lie algebras. In this paper, we develop some structure
theory (such as (co)homology groups, universal central extensions) of Hom-Leibniz algebras based on some works of Loday and
Pirashvili. 相似文献
11.
Abstract This paper computes the Thom map on γ2 and proves that it is represented by 2b2,0h1,2 in the ASS. The authors also compute the higher May differential of b2,0, from which it is proved that
for 2 ≤ s < p - 1 are permanent cycles in the ASS.
* Project supported by the National Natural Science Foundation of China (No.10501045), the Tianyuan Foundation of Mathematics
(No.10426028) and the Fund of the Personnel Division of Nankai University. 相似文献
12.
The Approximation Properties of Certain Interpolation Operators of Entire Exponential Type(1) 总被引:1,自引:0,他引:1
In this paper, the authers introduce certain entire exponential type interpolation operatots and study the convergence problem of these operatots in c(R) or Lp(R) (1≤p<∞) 相似文献
13.
LetUbeastandarduniverseandUbeanenlargednonstandarduniversewithrespecttoU.XisatopologicalspacewhichincludedintheindividualsetofU,thatis,XX.Definition1 Foreachx∈X,wedefinem(x)=∩{V:V∈Ix}andcallm(x)themonadofx(Ixistheopenneighborhoodofx).Wewritey≈xfo… 相似文献
14.
This paper aims to study low dimensional cohomology of Hom-Lie algebras and the qdeformed W(2, 2) algebra. We show that the q-deformed W(2, 2) algebra is a Hom-Lie algebra. Also,we establish a one-to-one correspondence between the equivalence classes of one-dimensional central extensions of a Hom-Lie algebra and its second cohomology group, leading us to determine the second cohomology group of the q-deformed W(2, 2) algebra. In addition, we generalize some results of derivations of finitely generated Lie algebras with values in graded modules to Hom-Lie algebras.As application, we compute all αk-derivations and in particular the first cohomology group of the q-deformed W(2, 2) algebra. 相似文献
15.
Wu-Yi HSIANG 《数学年刊B辑(英文版)》2006,27(1):1-30
Abstract In the study of n-dimensional spherical or hyperbolic geometry, n≥ 3, the volume of various objects such as simplexes, convex polytopes, etc. often becomes rather difficult to deal with.
In this paper, we use the method of infinitesimal symmetrization to provide a systematic way of obtaining volume formulas
of cones and orthogonal multiple cones in Sn(1) and Hn(—1).
(Dedicated to the memory of Shiing-Shen Chern) 相似文献
16.
17.
In this paper, we study the extension of isometries between the unit spheres of normed space E and lP(p 〉 1). We arrive at a conclusion that any surjective isometry between the unit sphere of normed space lP(p 〉 1) and E can be extended to be a linear isometry on the whole space lP(p 〉 1) under some condition. 相似文献
18.
For 0 〈β 〈 1, the author once wrote a paper to deal with the representation problem of the conjugate cone [L^β[0, 1]β^* of complex β-nanach space L^β[0, 1]. In this paper, replacing [0, 1] with a Borel finite measure space (Ω,M,μ) and replacing the complex field C with a Banach space X, we study the representation problem of the conjugate cone [L^β(μ, X)]β^* of L^β(μ, X), and obtain [L^β(μ, X)]β^*≌L^∞ M^+(μ, S), called the Quasi-Representation Theorem of [L^β(μ, X)]β^*. 相似文献
19.
In this paper, we study the existence and nonuniqueness of weak solutions of the initial and boundary value problem for ut =u^σ div(|△↓u|^(p-2)△↓u) with σ≥1. Localization property of weak solutions is also discussed. 相似文献
20.
Hans TRIEBEL 《数学学报(英文版)》2008,24(4):539-554
A space Apq^s (R^n) with A : B or A = F and s ∈R, 0 〈 p, q 〈 ∞ either has a trace in Lp(Г), where Г is a compact d-set in R^n with 0 〈 d 〈 n, or D(R^n/Г) is dense in it. Related dichotomy numbers are introduced and calculated. 相似文献