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Commutator Calculus and Groups of Homotopy Classes

A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author;

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Homotopy Theory of Schemes

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth;

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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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Algebraic Methods In Unstable Homotopy Theory

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which;

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Algebraic L-theory and Topological Manifolds

. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance;

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Algebraic L-theory and Topological Manifolds

. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance;

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

is to offer the basic techniques and results of etale homotopy theory to topologists and algebraic geometers who may then apply the theory;

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Algebraic Homotopy

important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.;

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The Homotopy Category of Simply Connected 4-Manifolds

The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two;

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An Introduction to Homotopy Theory

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications;

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Model Categories And Their Localizations

used in other fields where homotopy theoretic ideas are becoming important, including modern algebraic $K$-theory and algebraic geometry;

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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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Simplicial Homotopy Theory

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both;

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Motivic Homotopy Theory and Refined Enumerative Geometry

This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14-18, 2018;

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Homotopical Quantum Field Theory

This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using;

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Algebraic Structure of String Field Theory

from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view;

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Cohomology Operations and Applications in Homotopy Theory

the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific;

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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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Lectures On Algebraic Topology

Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes;

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Lectures On Algebraic Topology

Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes;

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New Directions in Homotopy Theory

University in Baltimore, Maryland. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory;

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Adams Memorial Symposium on Algebraic Topology

J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium;

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Adams Memorial Symposium on Algebraic Topology

J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium;

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ZZ/2 - Homotopy Theory

with the basic concepts of algebraic topology (homotopy, stable homotopy, homology, K-theory, the Pontrjagin-Thom transfer construction;

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Algebraic Topology

of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and;

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Cambridge Studies in Advanced Mathematics

important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.;

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