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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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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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Commutator Calculus and Groups of Homotopy Classes

group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and;

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Adams Memorial Symposium on Algebraic Topology

is mainly unstable homotopy theory, homological and categorical algebra. The second volume is oriented towards stable homotopy theory, the Steenrod;

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Adams Memorial Symposium on Algebraic Topology

towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy;

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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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Simplicial Homotopy Theory

in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category;

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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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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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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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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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Higher Categories and Homotopical Algebra

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to;

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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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Simplicial Homotopy Theory

in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category;

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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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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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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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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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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 Modeling of Topological and Computational Structures and Applications

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more;

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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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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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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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Foundations of Stable Homotopy Theory

The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles;

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