Автор: Loday, Jean-louis Название: Cyclic homology ISBN: 3642083161 ISBN-13(EAN): 9783642083167 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology.
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: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mr Название: Computational Homology ISBN: 1441923543 ISBN-13(EAN): 9781441923547 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing.
Автор: Audin Michele Название: Morse Theory and Floer Homology ISBN: 1447154959 ISBN-13(EAN): 9781447154952 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on a graduate course, this introduction to modern methods of symplectic topology explains the solution of an important problem originating from classical mechanics: the `Arnold conjecture`. Presents building blocks of Floer homology and more.
Автор: Banyaga Augustin, Hurtubise David Название: Lectures on Morse Homology ISBN: 1402026951 ISBN-13(EAN): 9781402026959 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs.The core material in this book includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists.
Автор: Sibe Mardesic Название: Strong Shape and Homology ISBN: 3642085466 ISBN-13(EAN): 9783642085468 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."
Автор: Reinhold H?bl Название: Traces of Differential Forms and Hochschild Homology ISBN: 3540509852 ISBN-13(EAN): 9783540509851 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an introduction to, as well as a unification and extension of the work and some ideas of J Lipman and E Kunz about traces of differential forms and their relations to duality theory for projective morphisms. This monograph uses Hochschild-homology, the definition of which is extended to the category of topological algebras.
Автор: Giblin Название: Graphs, Surfaces and Homology ISBN: 0521766656 ISBN-13(EAN): 9780521766654 Издательство: Cambridge Academ Рейтинг: Цена: 12514.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is an undergraduate level introduction to homology that will appeal to students interested in the application of algebra to geometrical problems, specifically the study of surfaces (sphere, torus, Mobius band, Klein bottle). Numerous examples and exercises are included, making this an ideal text either for teaching or for self-study.
Автор: Hans-Joachim Baues Название: Combinatorial Foundation of Homology and Homotopy ISBN: 3642084478 ISBN-13(EAN): 9783642084478 Издательство: Springer Рейтинг: Цена: 16764.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.
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