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by Boris Zilber

Author: Boris Zilber
Subcategory: Science & Mathematics
Language: English
Publisher: American Mathematical Society; First Edition edition (March 9, 1993)
Pages: 122 pages
Category: Other
Rating: 4.2
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Translations of mathematical monographs,, v. 117. Classifications.

In the work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka. In this volume, Oka's work is divided into two parts. The second part of Oka's work established a method for the study of analytic functions defined in a ramified domain over ${mathbf C}^n$ in which the branch points are considered as interior points of the domain. Here analytic functions in an analytic space are treated, which is a slight generalization of a ramified domain over ${mathbf C}^n$. In writing the book, the author's goal was to bring to readers a real understanding of Oka's original papers.

Series: Translations of Mathematical Monographs (Book 142). Publisher: American Mathematical Society (December 31, 1994). Paperback: 271 pages.

Zilber, Uncountably categorical theories, Translations of Math. Monographs, 117, AMS, 1993. Topological dynamics of closed subgroups of S ∞, arXiv:1404. Institute of Mathematics, University of Wroc law, pl. We argue that the following is the correct definition. Suppose that G is endowed with a metric so that it becomes a complete metric space. It follows that the Baire category theorem holds, and we may use the notions of ‘meagre’ and ‘comeagre’ sets. An element of G is then said to be generic if it lies in a comeagre conjugacy class. The definition is given relative to the topology we have chosen.

Hrushovski, Finitely axiomatizable 1-categorical theories, The Journal of Symbolic Logic, vol. 59 (1994), pp. 838-844. Zilber, Uncountably categorical theories, Translations of Mathematical Monographs, vol. 117, AMS, 1993. Hrushovski,Mordell-Lang conjecture for function fields, Journal of cal Society, vol. 9 (1996), pp. 667-690. Hrushovski and . Pillay, Effective bounds for transcendental points on subvarieties of semiabelian varieties, American Journal of Mathematics, vol. 122 (2000), pp. 439-450.

mathematical physics, mainly from quantum mechanics and diffraction theory. has given mathematical proofs of formal WKB asymptotics. of singular perturbations, Stokes phenomena and matched asymptotic expansions. on a particular area of analytic theory of linear ODEs in the complex plane.

The first part of the book deals with limit cycles of general plane stationary systems, including their existence, nonexistence, stability, and uniqueness.

Home Yan-Qian Ye and Chi Y Lo Theory of Limit Cycles (Translations of Mathematical Monographs). The first part of the book deals with limit cycles of general plane stationary systems, including their existence, nonexistence, stability, and uniqueness. The second section discusses the global topological structure of limit cycles and phase-portraits of quadratic systems.

Author : Boris Zilber. Publisher : American Mathematical Society. R.,609 on (FREE Delivery).

The 1970s saw the appearance and development in categoricity theory of a tendency to focus on the study and description of uncountably categorical theories in various special classes defined by natural algebraic or syntactic conditions. There have thus been studies of uncountably categorical theories of groups and rings, theories of a one-place function, universal theories of semigroups, quasivarieties categorical in infinite powers, and Horn theories. In Uncountably Categorical Theories, this research area is referred to as the special classification theory of categoricity. Zilber's goal is to develop a structural theory of categoricity, using methods and results of the special classification theory, and to construct on this basis a foundation for a general classification theory of categoricity, that is, a theory aimed at describing large classes of uncountably categorical structures not restricted by any syntactic or algebraic conditions.