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An Alpine Bouquet of Algebraic Topology

spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild;

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Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113

includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.;

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Cohomology of Groups and Algebraic K-theory

algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology;

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Algebraic K-Theory

Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and;

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Homotopy Theory of Schemes

properties are satisfied, for example, concerning the algebraic $K$-theory of those schemes. In this way, advanced methods of algebraic topology;

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Algebraic Topology

mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics;

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Introductory Lectures on Manifold Topology

invariance of rational Pontryagin classes, surgery theory, and algebraic K-theory.;

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The K-book

that even working in a purely algebraic context, one requires techniques from homotopy theory to construct the higher $K$-groups and to perform;

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Algebraic Topology

), elementary algebraic notions (modules, tensor product), and some terminology from category theory. The aim of the book is to introduce advanced;

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Algebraic Topology

Great first book on algebraic topology. Introduces (co)homology through singular 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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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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K-Theory

over algebraic geometry, topology, algebraic $K$-theory and number theory. Algebraic theory, $\\mathbb{A}^1$-homotopy theory and topological $K$-theory;

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Simplicial Objects in Algebraic Topology

Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial;

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More Concise Algebraic Topology

algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and;

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Cambridge Studies in Advanced Mathematics

Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for;

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Geometry and Topology: Manifolds

This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as;

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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104

algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications of this theory to algebraic topology, finite;

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Fundamentals of Algebraic Topology

cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology;

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Differential Forms in Algebraic Topology

sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic;

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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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Combinatorial Algebraic Topology

swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find;

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Real Algebraic Geometry and Topology

. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology;

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Topology of Stratified Spaces

Appearance of singularities is pervasive in many problems in topology, differential geometry and algebraic geometry. This book concerns the;

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Topology of Stratified Spaces

Appearance of singularities is pervasive in many problems in topology, differential geometry and algebraic geometry. This book concerns the;

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An Algebraic Introduction to K-Theory

This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules;

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An Algebraic Introduction to K-Theory

This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules;

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