Sheaves, Games, and Model Completions, Silvio Ghilardi; M. Zawadowski

Автор: Masaki Kashiwara, Pierre Schapira
Название: Categories and Sheaves
ISBN: 3642066208 ISBN-13(EAN): 9783642066207
Издательство: Springer
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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.

Автор: Wedhorn
Название: Manifolds, Sheaves, and Cohomology
ISBN: 3658106328 ISBN-13(EAN): 9783658106324
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model.

Автор: Israel Gohberg; Marinus Kaashoek; Frederik Van Sch
Название: Partially Specified Matrices and Operators: Classification, Completion, Applications
ISBN: 3034899068 ISBN-13(EAN): 9783034899062
Издательство: Springer
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Цена: 14673.00 р.
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Автор: MacLane
Название: Sheaves in Geometry and Logic
ISBN: 0387977104 ISBN-13(EAN): 9780387977102
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Sheaves also appear in logic as carriers for models of set theory. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.

Автор: Lubkin Saul
Название: A Non-Hausdorff Completion
ISBN: 9814667382 ISBN-13(EAN): 9789814667388
Издательство: World Scientific Publishing
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Описание:

This book introduces entirely new invariants never considered before, in homological algebra and commutative (and even non-commutative) algebra. The C-completion C(M), and higher C-completions, C_n(M), are defined for an arbitrary left module M over a topological ring A. Spectral sequences are defined that use these invariants. Given a left module over a topological ring A, under mild conditions the usual Hausdorff completion: M DEGREES can be recovered from the C-completion C(M), by taking the quotient module by the closure of {0}.

The new invariants and tools in this book are expected to be used in the study of p-adic cohomology in algebraic geometry; and also in the study of p-adic Banach spaces -- by replacing the cumbersome "complete tensor product" of p-adic Banach spaces, with the more sophisticated "C-complete tensor product," discussed in this book.

It is also not unlikely that the further study of these new invariants may well develop into a new branch of abstract mathematics - connected with commutative algebra, homological algebra, and algebraic topology.

Автор: Yves Diers
Название: Categories of Boolean Sheaves of Simple Algebras
ISBN: 3540164596 ISBN-13(EAN): 9783540164593
Издательство: Springer
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Автор: J?rg Sch?rmann
Название: Topology of Singular Spaces and Constructible Sheaves
ISBN: 3034894244 ISBN-13(EAN): 9783034894241
Издательство: Springer
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Цена: 13974.00 р.
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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.