Name: Lie Models in Topology: 335 (Progress in Mathematics) (en Inglés)
Price: 161950.00 CLP
Availability: InStock
Author: Buijs, Urtzi ; Félix, Yves ; Murillo, Aniceto
ISBN: 9783030544294

portada Lie Models in Topology: 335 (Progress in Mathematics) (en Inglés)

Formato

Libro Físico

Autor

Editorial

Año

2020

Idioma

Inglés

N° páginas

283

Encuadernación

Tapa Dura

Dimensiones

23.4 x 15.6 x 1.9 cm

Peso

0.61 kg.

ISBN13

9783030544294

N° edición

Categorías

Algebra
Topología

Lie Models in Topology: 335 (Progress in Mathematics) (en Inglés)

Urtzi Buijs (Autor) · Yves Félix (Autor) · Aniceto Murillo (Autor) · Birkhauser · Tapa Dura

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Reseña del libro "Lie Models in Topology: 335 (Progress in Mathematics) (en Inglés)"

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.