Lie Models in Topology

Name: Lie Models in Topology
SKU: 33565180
Price: 307.99 AUD
Availability: InStock

By:

Format:

Hardback

Series:

Progress in Mathematics

Show Hide Adult Content

$307.99

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Buy Now, Pay Later with:

4 payments of $77.00 with Afterpay Learn more

Availability

Delivering to:

Estimated arrival:

Around 28 Jun - 10 Jul using International Courier

Description

Since the birth of rational homotopy theory, the possibility of extending the Quillen approach – in terms of Lie algebras – to a more general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community. Despite the clear Eckmann-Hilton duality between Quillen and Sullivan treatments, the simplicity in the realization of algebraic structures in the latter contrasts with the complexity required by the Lie algebra version. In this book, the authors develop new tools to address these problems. Working with complete Lie algebras, they construct, in a combinatorial way, a cosimplicial Lie model for the standard simplices. This is a key object, which allows the definition of a new model and realization functors that turn out to be homotopically equivalent to the classical Quillen functors in the simply connected case. With this, the authors open new avenues for solving old problems and posing new questions. This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.

Release date Australia

December 16th, 2020

Author

Audience

Professional & Vocational

Edition

1st ed. 2020

Illustrations

XXV, 283 p.

Pages

283

Series

Progress in Mathematics

ISBN-13

9783030544294

Product ID

33565180

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here