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This paper is largely concerned with constructing quotients by etale equivalence relations. We are inspired by questions in classical rigid geometry, but to give satisfactory answers in that categor...
In the theory of schemes, faithfully at descent is a very powerful tool. One wants a descent theory not only for quasi-coherent sheaves and morphisms of schemes (which is rather elementary), but al...
对于二元语义环境下的多指标群决策问题,本文采用扩展Archimedean S-模定义二元语义的新运算法则,并基于新运算法则给出对权重进行自适应调整的二元语义扩展Archimedean S-模集成(TASTA)算子、二元语义扩展Archimedean S-模加权平均(TASTWA)算子和二元语义向量扩展Archimedean S-模加权平均(V-TASTWA)算子。以及提出一种基于TASTWA算子和...
A uniform space is said to be non-Archimedean if it is generated by equivalence relations. If $\lambda$ is a cardinal, then a non-Archimedean uniform space $(X,\mathcal{U})$ is $\lambda$-totally bound...
Abstract: This text is devoted to the systematic study of flatness in the context of Berkovich analytic spaces. After having shown through a counter-example that naive flatness in that context is not ...
We prove a general archimedean positivstellensatz for hermitian operator-valued polynomials and show that it implies the multivariate Fejer-Riesz Theorem of Dritschel-Rovnyak and positivstellens\" at...
In 1907, Hans Hahn proved the remarkable fact that any ordered group can be embedded in an ordered real function space. This set the stage for work on ordered groups and fields, and this area receive...
Let V be a quasi-projective algebraic variety over a non-archimedean valued field. We introduce topological methods into the model theory of valued fields, define an analogue “V of the Berkovich analy...
Over C and over non-archimedean elds, analyti cation of algebraic spaces is de ned as the solution to a quotient problem. Such analyti cation is interesting, since in the proper case it beautifully ...
Theorems on the separation of convex sets by hyperplanes are among the basic tools of convex analysis and mathematical programming. The main results of the present paper are new (and in a sense best p...
In Archimedean space (X;Á) we study oscillation of all solutions of the second-order difference equation with a nonlinear damped term of the form a(k)D2y(k)+b(k)Dy(k)+c(k)y(k)+ f (k;y(k);y(k&...
In this paper, we establish conditions under which a given well-defined linear operator that is not bounded on a given non-archimedean Hilbert space would be well-defined and bounded on another non-...

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