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Sheaves in Geometry and Logic: A First Introduction to Topos Theory

Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds;

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Toposes and Local Set Theories

Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's;

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Toposes and Local Set Theories

Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's;

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Topoi

A classic introduction to mathematical logic from the perspective of category theory, this text is suitable for advanced undergraduates and;

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London Mathematical Society Lecture Note Series

of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of topos theory and synthetic;

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A Study in Derived Algebraic Geometry

is obtained. This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to;

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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological;

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Topos Theory

elementary toposes and advances to internal category theory, topologies and sheaves, geometric morphisms, and logical aspects of topos theory;

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Differential Sheaves And Connections

This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both;

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Intersection Homology & Perverse Sheaves

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric;

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Intersection Homology & Perverse Sheaves

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric;

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Encyclopedia of Mathematics and its Applications Handbook of Categorical Algebra

of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations;

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Encyclopedia of Mathematics and its Applications Handbook of Categorical Algebra

of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations;

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Algebraic Geometry 1, Volume 1

This is the first of three volumes on algebraic geometry. The second volume, Algebraic Geometry 2: Sheaves and Cohomology , is available;

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Poisson Geometry, Deformation Quantisation and Group Representations

physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a;

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Manifolds, Sheaves, and Cohomology

non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the;

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Algebraic Geometry & Arithmetic Curves

This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes;

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Hodge Theory And Complex Algebraic Geome

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on;

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Hodge Theory & Complex Algebraic Geom 2

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on;

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Geometry Of Moduli Spaces Of Sheaves

Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and;

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Introduction to Algebraic Geometry

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results;

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Introduction to Higher-Order Categorical Logic

language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required;

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Moduli Spaces Of Stable Sheaves On Schemes

explains the construction of the moduli space of semi-stable sheaves. The theorems are stated in a general setting and the proofs are;

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Virtual Topology and Functor Geometry

gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that;

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Virtual Topology and Functor Geometry

gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that;

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Factorization Algebras in Quantum Field Theory

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory which is similar to the role;

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Hodge Ideals

leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. They analyze their local and global;

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