Homology of Analytic Sheaves and Duality Theorems, V.D. Golovin
Автор: Masaki Kashiwara, Pierre Schapira Название: Categories and Sheaves ISBN: 3642066208 ISBN-13(EAN): 9783642066207 Издательство: Springer Рейтинг: Цена: 10061.00 р. 11179.00-10% Наличие на складе: Есть (1 шт.) Описание:
Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays.
This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.
The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.
Автор: Birger Iversen Название: Cohomology of Sheaves ISBN: 3540163891 ISBN-13(EAN): 9783540163893 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Roman Bezrukavnikov; Michael Finkelberg; Vadim Sch Название: Factorizable Sheaves and Quantum Groups ISBN: 3540646191 ISBN-13(EAN): 9783540646198 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. This book is suitable for specialists in group representations and algebraic geometry.
Автор: M. Barr; P. A. Grillet; D. H. van Osdol Название: Exact Categories and Categories of Sheaves ISBN: 3540056785 ISBN-13(EAN): 9783540056782 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Joseph Bernstein; Valery Lunts Название: Equivariant Sheaves and Functors ISBN: 3540580719 ISBN-13(EAN): 9783540580713 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introducing the equivariant derived category of sheaves, this monograph also provides applications to the equivariant intersection cohomology. This theory should benefit specialists in representation theory, algebraic geometry or topology.
Автор: J?rg Sch?rmann Название: Topology of Singular Spaces and Constructible Sheaves ISBN: 3034894244 ISBN-13(EAN): 9783034894241 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance.
Автор: Kaczynski Название: Computational Homology ISBN: 0387408533 ISBN-13(EAN): 9780387408538 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Uses the computer to take a combinatorial computational approach to homological problems. This interdisciplinary book is aimed at researchers and students in mathematics, computer science, nonlinear dynamics, and engineering.
Автор: Dudley Название: Uniform Central Limit Theorems ISBN: 0521738415 ISBN-13(EAN): 9780521738415 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.
Автор: Jacod Jean, Shiryaev Albert N. Название: Limit Theorems for Stochastic Processes ISBN: 3540439323 ISBN-13(EAN): 9783540439325 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.
Автор: Wagner Geunter P., Wagner Gunter P. Название: Homology, Genes, and Evolutionary Innovation ISBN: 0691156468 ISBN-13(EAN): 9780691156460 Издательство: Wiley Рейтинг: Цена: 7920.00 р. Наличие на складе: Поставка под заказ.
Описание: Homology - a similar trait shared by different species and derived from common ancestry, such as a seal`s fin and a bird`s wing - is one of the most fundamental yet challenging concepts in evolutionary biology. This book provides a mechanistically based theory of what homology is and how it arises in evolution.
Автор: H. Grauert; R. Remmert Название: Coherent Analytic Sheaves ISBN: 3642695841 ISBN-13(EAN): 9783642695841 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: . . . Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func- tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E. N. S.
Автор: Yum-Tong Siu; G?nther Trautmann Название: Gap-Sheaves and Extension of Coherent Analytic Subsheaves ISBN: 3540052941 ISBN-13(EAN): 9783540052944 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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