From the reviews: This book is devoted to the study of sheaves by microlocal methods..(it) may serve as a reference source as well as a textbook on this new subject. Houzel's historical overview of the development of sheaf theory will identify important landmarks for students and will be a pleasure to read for specialists. Math. Reviews 92a (1992). The book is clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics.(...)The book can be strongly recommended to a younger mathematician enthusiastic to assimilate a new range of techniques allowing flexible application to a wide variety of problems. Bull. L.M.S. (1992)
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Text: English, French
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First Sentence:
This chapter contains the bases of homological algebra which are necessary for the understanding of the rest of this book: categories and functors, triangulated categories, localization, derived categories, ind-objects and pro-objects, Mittag-Leffler condition. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
involutivity theorem, isotropic subset, conic sheaves, subanalytic cycles, relative dualizing complex, closed convex proper cone, pure sheaves, subanalytic chains, exact bifunctor, topological submersion, subanalytic subset, flabby dimension, involutive subset, distinguished triangle, closed conic subset, microlocal study, proper closed convex cone, lagrangian cycle, subanalytic stratification, involutive submanifold, constructible sheaves, last morphism, conic object, morphism homotopic, functorial operations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applying Corollary, Applying Lemma, Consider the Cauchy New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter contains the bases of homological algebra which are necessary for the understanding of the rest of this book: categories and functors, triangulated categories, localization, derived categories, ind-objects and pro-objects, Mittag-Leffler condition. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
involutivity theorem, isotropic subset, conic sheaves, subanalytic cycles, relative dualizing complex, closed convex proper cone, pure sheaves, subanalytic chains, exact bifunctor, topological submersion, subanalytic subset, flabby dimension, involutive subset, distinguished triangle, closed conic subset, microlocal study, proper closed convex cone, lagrangian cycle, subanalytic stratification, involutive submanifold, constructible sheaves, last morphism, conic object, morphism homotopic, functorial operations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applying Corollary, Applying Lemma, Consider the Cauchy 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 56
books:
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48
books
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- Homological Algebra (PMS-19) by Henri Cartan in Front Matter (1), Front Matter (2), and Back Matter
- Complex Manifolds and Deformation of Complex Structures (Classics in Mathematics) by Kunihiko Kodaira in Back Matter
- Entropy, Large Deviations, and Statistical Mechanics (Classics in Mathematics) by Richard Ellis in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
- Introduction to Modular Forms (Grundlehren der mathematischen Wissenschaften) by Serge Lang in Back Matter
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- Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften) by Alejandro Adem in Back Matter
- Geometric Analysis and Lie Theory in Mathematics and Physics (Australian Mathematical Society Lecture Series) by Alan L. Carey on page 28
- Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften) by Martin R. Bridson in Back Matter
- Introduction to Modular Forms (Grundlehren der mathematischen Wissenschaften) by Serge Lang in Back Matter
- Lie Theory and Geometry: In Honor of Bertram Kostant (Progress in Mathematics) by Jean-Luc Brylinski on page 487
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