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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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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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Elements of Homology Theory

in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples;

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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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Mixed Motives

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

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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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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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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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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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Introduction To Homological Algebra

. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1;

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An Alpine Bouquet of Algebraic Topology

homology, intersection cohomology, and symplectic topology.;

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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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Graphs, Surfaces and Homology

generalize to higher dimensions (and the general machinery of simplicial homology theory is avai1able from earlier chapters) but I have confined;

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Completion Cech and Local Homology and Cohomology

complex with respect to a system of elements and its free resolution. The study of its homology and cohomology will play a crucial role in order;

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Homological Algebra (PMS-19), Volume 19

single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework;

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Topology of Stratified Spaces

by well-known experts cover intersection homology, L2 cohomology and differential operators, topology of algebraic varieties, signatures and;

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Topology of Stratified Spaces

by well-known experts cover intersection homology, L2 cohomology and differential operators, topology of algebraic varieties, signatures and;

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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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Spectral Invariants With Bulk, Quasi-Morphisms and Lagrangian Floer Theory

ambient cycles of symplectic manifolds, of the Floer homology and quantum cohomology. Essentially the same kind of construction is independently;

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Differential Topology: Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Varenna (Como), It

. Haefliger: Differentiable Cohomology.- J.N. Mather: On the homology of Haefliger's classifying space.- P. Michor: Manifolds of differentiable maps;

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London Mathematical Society Lecture Note Series

was assumed to be familiar with the basic material of homology and homotopy theory, and the object of the course was to explain the methodology;

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Introduction to Homological Algebra, 85

?; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology;

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