共查询到20条相似文献,搜索用时 78 毫秒
1.
构造了一个反例回答了基数不等式|X|<2c(X)Δ(X)不仅对于正则空间类不成立,甚至对Tychonoff空间类亦不成立。 相似文献
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设(X,τ)是一个拓扑空间。在本文中,我们证明了在超空间2X上局部有限拓扑eτ与局部有限覆盖拟一致uLF所导出的超拓扑|2uLF|是相同的。我们还证明了下面条件是等价的:(1)(X,τ)是仿紧的;(2)(X,τ)是orth紧的,且eτ=|2uFT|;(3)存在一个Lebes-yue拟一致uL,使eτ< 相似文献
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一个Directed三元系DTS(ν,λ)=(X,B)是自反的,如果它与它的逆(X,B-1)同构,其中B-1={(z,y,x);(x,y,z)∈B}.继已给出SCDTS(ν,λ)的存在谱之后,又给出简单SCDTS(ν,λ)的存在谱. 相似文献
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本文首先在一般的赋范线性空间中研究了集值映射F;X→Y的平衡点的存在性问题,证明了包含问题O∈F(X)的三个可解性定理.然后在无穷维空间中研究了弱相依锥Tkσ(x)的直接像,弱相依导数DσF(x,y)的一个链式法则以及偏y弱导数DyσF(x,y)的弱Lip连续性.最后,作为应用,给出并证明了用弱相依导数DσF(x,y)及弱P导数PσF(x,y)判定无穷维 相似文献
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该文在齐型空间( X, d,μ)上建立带非光滑核的奇异积分算子的双权、弱型不等式, 即对于1< p≤ q <∞, 此算子是Lp( X, v)到 Lq,∞( X, u)有界的, 只要权函数对(u, v)满足在权 u 上增加一个"Orlicz-bump" '的 Ap 型条件. 相似文献
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设X为一复域C上的Banach空间,设T:X→X为一有界线性算子,其指标为k且R(Tk)闭.记T的Drazin逆为TD.设T=T+δT,则在一定条件下,TD有简明分解式TD=TD(I+δTTD)-1=(I+TDδT)-1TD,从而导出了相对误差‖TD-TD< 相似文献
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设K~n是Abel数域,Gal(Kn/Q)≌(Z/lZ)n。本文对一般素数l,一般n刻画了Kn的结构。特别是完全解决了Kn的判别式密度问题,即明显给出ⅰ)Kn的判别式。ⅱ)判别式为D的Kn的个数J(D)。ⅲ)判别式小于X的Kn的个数N(X)~,C是明显给出常数(l=2情形引作者另文)。Hasse,Cohn,Baily等的结果作为特殊情形含于本文结果之中。 相似文献
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A. Bella 《Quaestiones Mathematicae》2018,41(1):99-113
We give a general closing-off argument in Theorem 2.3 from which several corollaries follow, including (1) if X is a locally compact Hausdorff space then |X| ≤ 2wL(X)ψ(X), and (2) if X is a locally compact power homogeneous Hausdorff space then |X| ≤ 2wL(X)t(X). The first extends the well-known cardinality bound 2ψ(X) for a compactum X in a new direction. As |X| ≤ 2wL(X)χ(X) for a normal spaceX[4], this enlarges the class of known Tychonoff spaces for which this bound holds. In 2.12 we give a short, direct proof of (1) that does not use 2.3. Yet 2.3 is broad enough to establish results much more general than (1), such as if X is a regular space with a π-base ? such that |B| ≤ 2wL(X)χ(X) for all B ∈ ?, then |X| ≤ 2wL(X)χ(X).Separately, it is shown that if X is a regular space with a π-base whose elements have compact closure, then |X| ≤ 2wL(X)ψ(X)t(X). This partially answers a question from [4] and gives a third, separate proof of (1). We also show that if X is a weakly Lindelöf, normal, sequential space with χ(X) ≤ 2?0, then |X| ≤ 2?0.Result (2) above is a new generalization of the cardinality bound 2t(X) for a power homogeneous compactum X (Arhangel'skii, van Mill, and Ridderbos [3], De la Vega in the homogeneous case [10]). To this end we show that if U ? clD ? X, where X is power homogeneous and U is open, then |U| ≤ |D|πχ(X). This is a strengthening of a result of Ridderbos [19]. 相似文献
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YANG Dachun Department of Mathematics Beijing Normal University Beijing China 《中国科学A辑(英文版)》2005,48(1):12-39
Let(X,p,μ)d,θ be a space of homogeneous type,(?) ∈(0,θ],|s|<(?) andmax{d/(d+(?)),d/(d+s+(?))}<q≤∞.The author introduces the new Triebel-Lizorkin spaces (?)_∞q~s(X) and establishes the framecharacterizations of these spaces by first establishing a Plancherel-P(?)lya-type inequalityrelated to the norm of the spaces (?)_∞q~s(X).The frame characterizations of the Besovspace (?)_pq~s(X) with|s|<(?),max{d/(d+(?)),d/(d+s+(?))}<p≤∞ and 0<q≤∞and the Triebel-Lizorkin space (?)_pq~s(X)with|s|<(?),max{d/(d+(?)),d/(d+s+(?))}<p<∞ and max{d/(d+(?)),d/(d+s+(?))}<q≤∞ are also presented.Moreover,the au-thor introduces the new TriebeI-Lizorkin spaces b(?)_∞q~s(X) and H(?)_∞q~s(X) associated to agiven para-accretive function b.The relation between the space b(?)_∞q~s(X) and the spaceH(?)_∞q~s(X) is also presented.The author further proves that if s=0 and q=2,thenH(?)_∞q~s(X)=(?)_∞q~s(X),which also gives a new characterization of the space BMO(X),since (?)_∞q~s(X)=BMO(X). 相似文献
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Xian-Jin Li 《Mathematische Nachrichten》1997,185(1):115-148
Let (X,Y) be a minimal compactifiurtion of ?2. In this paper, we determine the structure of such a (X,Y) in the case where X is a normal hypersurface of degree d ≤ 4 in P3. 相似文献
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Let (T, X) be a continuum act, let cd X=n and suppose A is a T-ideal (i.e., a T-invariant subspace of X), such that Hn(A)≠0. We prove that A is a minimal T-ideal iff A=Gx for some x∈X and maximal group G in the minimal ideal of T. Moreover,
if these conditions are satisfied, then A is the only minimal T-ideal and also is the unique floor for every nonzero element
of Hn(X). We need and also prove here an improved version of the Tube Theorem [3], and this corollary: if (G, X) is an intransitive
transformation group with G compact, X locally compact and finite dimensional, and X/G connected, then dimension Gx<dimension
X for all x∈X.
NSF GP 9659.
NSF GP 28655. 相似文献
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Mauro Beltrametti 《Annali di Matematica Pura ed Applicata》1985,141(1):331-351
Sunto In questo lavoro si studiano fibrati in coniche X su una superficie non singolare S. I fibrati in coniche si presentano nella classificazione delle varietà algebriche a tre dimensioni aventi dimensione di Kodaria negativa. Si descrivono qui, a meno di isogenie, il gruppo A2(X) dei cicli di codimensione due algebrieamente equivalenti a zero e la iacobiana intermedia J(X). Quando S è una superficie razionale, A2(X) e J(X) vengono descritti a meno di isomorfismi ottenendo risultati già provati da Beauville nel caso S=P
2. 相似文献
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E. Ballico 《Results in Mathematics》2003,43(3-4):202-204
Let V be a localizing Banach space with an unconditional countable basis, X an equicodimensional transversal union of finite-codimensional linear subspaces of P(V) and E a holomorphic vector bundle of finite rank on X. Here we prove that Hi(X,E) = 0 for every i > 0 and that E is isomorphic to a direct sum of line bundles OX(t). 相似文献
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D. B. Shakhmatov 《Journal of Mathematical Sciences》1995,75(3):1754-1769
Symbols w(X), nw(X), and hl(X) denote the weight, the network weight, and the hereditary Lindelöf number of a space X, respectively. We prove the following factorization theorems.
- Let X and Y be Tychonoff spaces, φ: X→Y a continuous mapping, hl(X)≤τ, and w(Y)≤τ. Then there exist a Tychonoff space Z and continuous mappings ψ: X→Z, χ: Z→Y such that φ=χ o ψ, Z=ψ(X), w(Z)≤τ andind Z≤ind X. Moreover, if nw(X)≤τ, then mapping ψ is one-to-one.
- Let π: G→H be a continuous homomorphism of a Hausdorff topological group G to a Hausdorff topological group H, hl(G)≤τ and w(H)≤τ. Then there are a Hausdorff topological group G* and continuous homomorphisms g: G→G*, h: G*→H so that π=h o g, G*=g(G), w(G*)≤τ andind G*≤ind G. If nw(G)≤τ, then g is one-to-one.
- For every continuous mapping φ: X→Y of a regular Lindelöf space X to a Tychonoff space Y one can find a Tychonoff space Z and continuous mappings ψ: X→Z, χ: Z→Y such that φ=χ o ψ, Z=ψ(X), w(Z)≤w(Y),dim Z≤dim X, andind 0 Z≤ind 0 X, whereind 0 is the dimension function defined by V.V.Filippov with the help of Gδ-partitions. If we additionally suppose that X has a countable network, then ψ can be chosen to be one-to-one. The analogous result also holds for topological groups.
- For each continuous homomorphism π: G→H of a Hausdorff Lindelöf Σ-group G (in particular, of a σ-compact group G) to a Hausdorff group H there exist a Hausdorff group G* and continuous homomorphisms g: G→G*, h:G*→H so that π=h o g, G*=g(G), w(G*)≤w(H),dimG*≤dimG, andind G*≤ind G. Bibliography: 25 titles.
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Yoshiaki Fukuma 《Geometriae Dedicata》1998,69(2):189-206
Let (X,L) be a polarized surface. If h0(L)>0, then g(L) q(X). In our previous papers, we classified polarized surfaces (X,L) with g(L)=q(X) and h0(L)>0. In this paper, we classify polarized surfaces (X,L) with g(L)=q(X)+1, h0(L)>0, and (X) 0. 相似文献
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Huang Xuanguo 《数学年刊B辑(英文版)》1991,12(1):73-79
Given some function H(X),one can find a compact hypersurface in S~(n+1),which ishomeomorphic to S~m(1)×S~(n-m)(1)and whose mean curvature is given by H(X). 相似文献
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Donggao Deng Yanbo Xu Lixin Yan 《分析论及其应用》2006,22(1):41-55
Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on Lp (X), 1 < p <∞. We give a sufficient condition on the kernel k(x,y) of Tso that when a function b ∈ BMO (X) ,the commutator [b, T] (f) = T (b f) - bT (f) is aounded on spaces Lp for all p, 1 < p <∞. 相似文献