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1.
In this note we prove that the cardinality of an infinite order-polynomially complete lattice (if such a lattice exists)
must be greater than each , where is defined such that and for . This strengthens the result in [4].
Received November 10, 1995; accepted in final form April 6, 1998. 相似文献
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Harry Gingold Daniel Solomon 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(12):4234-4240
A dynamical system is called complete if every solution of it exists for all t∈R. Let K be the dimension of the vector space of quadratic systems. The set of complete quadratic systems is shown to contain a vector subspace of dimension 2K/3. We provide two proofs, one by the Gronwall lemma and the second by compactification that is capable of showing incompleteness as well. Characterization of a vector subspace of complete quadratic systems is provided. The celebrated Lorenz system for all real ranges of its parameters is shown to belong to this subspace. We also provide a sufficient condition for a system to be incomplete. 相似文献
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《Topology and its Applications》1988,30(2):127-148
A notion of Cauchy sequence in quasi-metric spaces is introduced and used to define a standard completion for a special class of spaces. 相似文献
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Let be a complete local domain containing the integers with maximal ideal such that is at least the cardinality of the real numbers. Let be a nonmaximal prime ideal of such that is a regular local ring. We construct an excellent local ring such that the completion of is , the generic formal fiber of is local with maximal ideal and if is a nonzero ideal of , then is complete.
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Abbas Najati 《Applied Mathematics Letters》2010,23(8):880-882
Let be an abelian group and let be a normed space. A mapping is called -quadratic if for a given it satisfies for all . In this work, we show that is complete if every -quadratic mapping can be estimated by a quadratic mapping, where is or a finitely generated free abelian group. 相似文献
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O.F.K. Kalenda 《Journal of Functional Analysis》2011,260(10):2986-2996
We consider several quantities related to weak sequential completeness of a Banach space and prove some of their properties in general and in L-embedded Banach spaces, improving in particular an inequality of G. Godefroy, N. Kalton and D. Li. We show some examples witnessing natural limits of our positive results, in particular, we construct a separable Banach space X with the Schur property that cannot be renormed to have a certain quantitative form of weak sequential completeness, thus providing a partial answer to a question of G. Godefroy. 相似文献
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It is proved that any bounded pseudoconvex domain in is complete w.r.t. the Bergman metric if its boundary can be described locally as the graph of a continuous function in suitable
coordinates for . Further arguments are given concerning the stability problems of the Bergman kernel on non-smooth pseudoconvex domains.
Received November 30, 1998 / Revised December 21, 1999 / Published online September 5, 2000 相似文献
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Dongyuan Yao 《K-Theory》1996,10(3):307-322
Let A be an Abelian category and B be a thick subcategory of A. Let D
b(B) denote the derived category of cohomologically bounded chain complexes of objects in A and D
B
b
(A) denote the derived category of cohomologically bounded chain complexes of objects in A with cohomology in B. We give two if and only if conditions for equivalence of D(B) and D
B
b
(A), and we give an example where D
b
(B) and D
B
b
(A) are not equivalent. 相似文献
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Prof. Hiroyuki Tachikawa 《Mathematische Zeitschrift》1969,111(2):145-150
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Keith A. Kearnes 《Algebra Universalis》2009,61(3-4):475-478
The theory of multitraces provides a new proof that any simple tournament with more than two elements is functionally complete. 相似文献
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