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We characterize when the elementary diagram of a mutually algebraic structure has a model complete theory, and give an explicit description of a set of existential formulas to which every formula i...
The present paper is a direct continuation of [2], where it is shown that any strongly minimal trivial theory is model complete after naming constants for a model. In this paper we show that this re...
We study ℵ0-stable theories, and prove that if T either has eniDOP or is eni-deep, then its class of countable models is Borel complete. We introduce the notion of λ-Borel completeness and pro...
Abstract: We show that Bergman completeness is not a quasi-conformal invariant for general Riemann surfaces.
Abstract: This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A)^- and K(...
In this paper, we survey research that studies the connection between the computational complexity of optimization problems on the one hand, and the duality gap between the primal and dual optimizatio...
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...
A hypergraph dictatorship test is first introduced by Samorodnitsky and Trevisan and serves as a key component in their unique games based PCP construction.
In this article, some new completeness theorems in probabilis- tic normed space are proved. Moreover, the existence of a constrictive Menger probabilistic normed space is shown.
In this paper we give definition of m-fold completeness and prove a theorem on completeness of elementary generalized solution of corresponding boundary value problems at which the equation describes ...
专著信息 书名 A note on Bergman completeness, International 语种 英文 撰写或编译 作者 Bo-Yong Chen 第一作者单位 出版社 J. Math. 12, 383- - 392 (2001). (SCI) 出版地 出版日期 2001年 月 日 标准书号 介质类型 页数 字数 开本 相关项目 伯格曼核及相关的函数论问题的一些研究
We give seven necessary and sufficient conditions for a metric space to be complete.
We give five necessary and sufficient conditions for a metric space to be complete.

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