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Simplicial Homotopy Theory

theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers;

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Simplicial Homotopy Theory

theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov;

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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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Model Categories

category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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Calculus of Fractions and Homotopy Theory

The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo;

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

This book presents a coherent account of the current status of etale homotopy theory, a topological theory introduced into abstract;

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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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Discrete Morse Theory

introduction to the subject. Since the book restricts the study of discrete Morse theory to abstract simplicial complexes, a course in mathematical;

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Cambridge Studies in Advanced Mathematics

framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and;

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Cellular Structures in Topology

framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and;

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From Categories to Homotopy Theory

bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to;

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Homotopy Theory

This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday;

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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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Higher Segal Spaces

This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The;

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Introduction to Algebraic Topology

theory, establishing the concepts of functors, natural transformations, adjunction, limits, and colimits. As a first application, van Kampen's;

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Basic Algebraic Topology

homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial complexes. It then focuses on the fundamental group;

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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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Algebraic Homotopy

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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Algebraic Systems and Computational Complexity Theory

in Chapter 4. The following four chapters discuss respectively, incremental algorithms and their cost theory, homotopy algorithms, zeros;

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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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Cambridge Studies in Advanced Mathematics

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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Commutator Calculus and Groups of Homotopy Classes

extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent;

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Geometric Aspects of General Topology

theorem on small subdivisions is very important, but its proof cannot be found in any textbook. The homotopy type of simplicial complexes;

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Geometric Aspects of General Topology

theorem on small subdivisions is very important, but its proof cannot be found in any textbook. The homotopy type of simplicial complexes;

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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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Einde inhoud

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