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Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem

The long-standing Kervaire invariant problem in homotopy theory arose from geometric and differential topology in the 1960s and was quickly;

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Global Homotopy Theory

actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework;

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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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The Geometric Hopf Invariant and Surgery Theory

construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract;

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The Geometric Hopf Invariant and Surgery Theory

construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract;

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Lectures on Field Theory and Topology

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special;

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ZZ/2 - Homotopy Theory

vector bundle - multiplication by - I in each fibre; doubling and squaring operations; the symmetry of bilinear forms and Hermitian K-theory;

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Mod Two Homology and Cohomology

subject, 2. An absence of signs and orientation considerations simplifies the theory, 3. Computations and advanced applications can be presented;

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Syzygies and Homotopy Theory

understood. Syzygies and Homotopy Theory explores the problem of nonsimply connected homotopy in the first;

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Foundations of Stable Homotopy Theory

topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the;

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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128

. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date;

Vergelijkbare producten zoals Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128

An Introduction to Homotopy Theory

, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters;

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Stable Homotopy and Generalised Homology

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well;

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London Mathematical Society Lecture Note Series

present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and etale homotopy, all written from;

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Computer Algebra Methods for Equivariant Dynamical Systems

examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination;

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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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Representation Theory and Beyond

algebras, and the higher Auslander-Reiten theory studied via homotopy theory.;

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From the Basic Homotopy Lemma to the Classification of $C^*$-algebras

elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries. The;

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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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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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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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Surgery on Compact Manifolds

category), including results such as the $h$-cobordism theory of Smale (1960), the classification of exotic spheres by Kervaire and Milnor (1962;

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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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Stable Stems

The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context;

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Smooth Invariant Manifolds And Normal Forms

This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the;

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