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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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Cornered Heegaard Floer Homology

Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold;

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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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Algebraic Topology

Algebraic Topology: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including;

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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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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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Homology

Homology, the similarity between organisms that is due to common ancestry, is the central concept of all comparative biology. However, the;

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Homology Effects

Homology Effects offers contributions from an international panel of researchers whose aim has been both to introduce newcomers to the;

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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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Lectures on Functor Homology

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra;

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Homology, Genes, and Evolutionary Innovation

A major synthesis of homology, written by a top researcher in the field Homology-a similar trait shared by different species and derived;

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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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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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Homology, Genes, and Evolutionary Innovation

Homology--a similar trait shared by different species and derived from common ancestry, such as a seal's fin and a bird's wing--is one;

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Homology and Systematics

between animals and plants. Homology is the principle underlying these disciplines. When looking at groups of organisms, shared positional;

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Homology and Systematics

between animals and plants. Homology is the principle underlying these disciplines. When looking at groups of organisms, shared positional;

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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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Homology of Analytic Sheaves and Duality Theorems

. . . . . . . . .. . . . . . . . . 63 . . .;...

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SHsearch. A Method for Fast Remote Homology Detection

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An Extension of Casson's Invariant. (AM-126), Volume 126

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the;

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

This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti;

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Algebraic Topology

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

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