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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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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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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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Rings and Homology

This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring;

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From Categories to Homotopy Theory

play a central role throughout the book, giving rise to models of iterated loop spaces, and feature prominently in functor homology and;

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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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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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Introduction to Infinity-Categories

to more advanced results such as the very important adjoint functor theorems. The book is based on lectures given by the author on the;

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Transcendental Aspects of Algebraic Cycles

from introductory lectures on algebraic cycles to more advanced material. The advanced lectures are grouped under three headings: Lawson (co;

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Homology

applications of this unifyinf. Chapters deal with homology on all levels from molecules to behavior, and are authored by leading contributors to;

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Differential Algebraic Topology

, partitions of unity and transversality. Based on this, homology groups are constructed in the framework of stratifolds and the homology axioms are;

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Introductory Lectures On Knot Theory

of computation. The summer school on which this book is based contained excellent lectures on the many aspects of applications of knot theory. This book;

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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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Complex Algebraic Geometry

topics such as the minimal model program. Also included is an introduction to Hodge theory and intersection homology based on the simple;

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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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Homology Effects

, RIP, RNAi and antisense biology, homology effects in ciliates, prion biology, and a discourse on the evolution of gene duplications.

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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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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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Algebraic Topology

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

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Algebraic Topology

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

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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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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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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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