Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Categories and Sheaves
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Book Description
Editorial Reviews
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From the reviews: "This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions are presented from scratch up to the most recent (sometimes new) results … ." (Corrado Marastoni, Mathematical Reviews, Issue 2006 k)
About the Author
Masaki Kashiwara Professor at the Rims, Kyoto University Plenary speaker ICM 1978 Invited speaker ICM 1990 http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/ Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI) Invited speaker ICM 1990 http://www.math.jussieu.fr/~schapira/
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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filtrant inductive limits, local epimorphism, small inductive limits, finite inductive limits, small direct sums, finite projective limits, local monomorphism, small filtrant inductive system, distributive families, distributive family, triangulated functor, right localizable, codiagonal morphism, full additive subcategory, smallest full triangulated subcategory, cofinal functor, strict epimorphism, inductive limits commute, exact morphism, twisted sheaves, functorial with respect, functor commuting, saturated multiplicative system, additive bifunctor, parallel morphisms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Horn Fct, Exercises Exercise, Hom Fct, Hom Psh, Applying Lemma, Simplicial Constructions, Kan Extension of Functors, Ker Tdx, Categories Associated, Consider the Cartesian, Using Corollary New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
filtrant inductive limits, local epimorphism, small inductive limits, finite inductive limits, small direct sums, finite projective limits, local monomorphism, small filtrant inductive system, distributive families, distributive family, triangulated functor, right localizable, codiagonal morphism, full additive subcategory, smallest full triangulated subcategory, cofinal functor, strict epimorphism, inductive limits commute, exact morphism, twisted sheaves, functorial with respect, functor commuting, saturated multiplicative system, additive bifunctor, parallel morphisms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Horn Fct, Exercises Exercise, Hom Fct, Hom Psh, Applying Lemma, Simplicial Constructions, Kan Extension of Functors, Ker Tdx, Categories Associated, Consider the Cartesian, Using Corollary New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 66
books:
See all 66 books this book cites
- Interacting Particle Systems (Classics in Mathematics) by Thomas M. Liggett in Back Matter (1), and Back Matter (2)
- Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften) by Alejandro Adem in Back Matter
- Sheaves on Manifolds: With a Short History "Les debuts de la theorie des faisceaux" by Christian Houzel (Grundlehren der mathematischen Wissenschaften) by Masaki Kashiwara in Back Matter
- Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften) by Martin R. Bridson in Back Matter
- Model Categories (Mathematical Surveys and Monographs) by Mark Hovey in Back Matter
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