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A Geometric Approach to Homology Theory

of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a;

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Algebraic Topology

duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding;

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Homotopy Theory with Bornological Coarse Spaces

. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal;

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Knot Theory

, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer;

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Knot Theory

, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer;

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Algebraic Topology

Introduces the first concepts of Algebraic Topology, such as general simplicial complexes, simplicial homology theory, fundamental groups;

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Singular Intersection Homology

Intersection homology is a version of homology theory that extends Poincare duality and its applications to stratified spaces, such as;

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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

applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later;

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Algebraic Topology

Great first book on algebraic topology. Introduces (co)homology through singular theory.;

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Algebra 3

theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss;

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Algebra 3

theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss;

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Floer Homology Groups in Yang-Mills Theory

The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants;

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Graphs, Surfaces and Homology

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible;

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Graphs, Surfaces and Homology

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible;

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Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory

theory and homology. An example of such an interaction is provided by L2-Betti numbers: these invariants can be understood in terms of group;

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Homology, Genes, and Evolutionary Innovation

. This groundbreaking book provides the first mechanistically based theory of what homology is and how it arises in evolution. Gunter Wagner;

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Discrete Morse Theory

Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s;

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Symplectic Topology and Floer Homology

pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.;

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Lectures on Factorization Homology Categories and Topological Field Theories

This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples;

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Homology, Genes, and Evolutionary Innovation

theory of what homology is and how it arises in evolution. Gunter Wagner, one of the preeminent researchers in the field, argues that homology;

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Mixed Motives

, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology;

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K-theory in Algebra, Analysis and Topology

applications and connections. Papers cover topics such as $K$-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories;

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Algebraic and Differential Topology

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines;

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C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows;

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Basic Algebraic Topology

, covering spaces and elementary aspects of homology theory. It presents the central objects of study in topology visualization: manifolds. After;

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Rings, Groups, and Algebras

groups, homology algebra, module theory, valuation theory, and more.";

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