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Completion Cech and Local Homology and Cohomology

The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local;

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Elements of Homology Theory

chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology;

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Homology of Normal Chains and Cohomology of Charges

neighborhood retracts of a large class of Banach spaces. On this category the authors define homology and cohomology functors with real coefficients;

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Basic Algebraic Topology

developing the homology theory with coefficients, homology of the products, and cohomology algebra, the book returns to the study of manifolds;

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Mod Two Homology and Cohomology

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more;

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Mixed Motives

, Borel-Moore homology and cohomology with compact supports.;

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Introduction To Homological Algebra

, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part;

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Differential Algebraic Topology

This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author;

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A Geometric Approach to Homology Theory

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that;

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Lectures on Functor Homology

coefficients in the homology of infinite families of classical groups, e.g. general linear groups or symplectic groups, and their stabilization;

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Computational Algebraic Geometry

and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective;

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Computational Algebraic Geometry

and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective;

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Singular Intersection Homology

piecewise-linear chains. Recent breakthroughs have made this approach viable by providing intersection homology and cohomology versions of all the;

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Differential Forms in Algebraic Topology

of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral;

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Algebraic Geometry for Associative Algebras

homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create;

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Twenty-Four Hours of Local Cohomology

and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric;

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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and;

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Local Cohomology and Its Applications

, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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An Invitation to Morse Theory

topology, and will also be of interest to researchers. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min;

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Local Cohomology

This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology;

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Rigid Cohomology over Laurent Series Fields

dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le Stum's overconvergent site;

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An Alpine Bouquet of Algebraic Topology

homology, intersection cohomology, and symplectic topology.;

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Topology and Geometry

, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: An interesting and original;

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Transcendental Aspects of Algebraic Cycles

)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology;

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