Handbook of Homotopy Theory: 1st Edition (Hardback) book cover

Handbook of Homotopy Theory

1st Edition

Edited by Haynes Miller

Chapman and Hall/CRC

750 pages | 200 B/W Illus.

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Hardback: 9780815369707
pub: 2019-11-01
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Description

The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. Homotopy is a newer topic, Homotopy theory is an idea that finds its roots in the work of Henri Poincare in the early twentieth century. It was oneof the foundational ideas of topology, which is now a booming field of mathematics. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students particularly will findthis book to be an entree to an active field of study.

Table of Contents

Goodwillie calculus

A factorization homology primer

Polyhedral products and features of their homotopy theory

A guide to tensor-triangular classification

Chromatic structures in stable homotopy theory

Topological modular and automorphic forms

A survey of models for (1,n)-categories

Persistent homology and applied homotopy theory

Algebraic models in the homotopy theory of classifying spaces

Floer homotopy theory, revisited

Little discs operads, graph complexes and Grothendieck–Teichmüller groups

Moduli spaces of manifolds: a user’s guide

An introduction to higher categorical algebra

A short course on -categories

Topological cyclic homology

Lie algebra models for unstable homotopy theory

Equivariant stable homotopy theory

Motivic stable homotopy groups

En-spectra and Dyer-Lashof operations

Assembly maps

Lubin-Tate theory, character theory, and power operations

Unstable motivic homotopy theory

About the Editor

Haynes Miller is Professor of Mathematics at Massachuetts Institute of Technology. He has been a strong and influential worker in homotopy theory and related areas since 1974.

About the Series

CRC Press/Chapman and Hall Handbooks in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT012000
MATHEMATICS / Geometry / General