Visit our Christmas Gift Finder
Rational Homotopical Models and Uniqueness - Memoirs of the American Mathematical Society (Paperback)
  • Rational Homotopical Models and Uniqueness - Memoirs of the American Mathematical Society (Paperback)
zoom

Rational Homotopical Models and Uniqueness - Memoirs of the American Mathematical Society (Paperback)

£56.50
Paperback Published: 30/12/1999
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
The main goal of this paper is to prove the following conjecture of Baues and Lemaire: the differential graded Lie algebra associated with the Sullivan model of a space is homotopy equivalent to its Quillen model. In addition we show the same for the cellular Lie algebra model which we build from the simplicial analog of the classical Adams-Hilton model. It turns out that this cellular Lie algebra model is one link in a chain of models connecting the models of Quillen and Sullivan. The key result which makes all this possible is Anick's correspondence between differential graded Lie algebras and Hopf algebras up to homotopy. In addition we show that the Quillen model is a rational homotopical equivalence, and we conclude the same for the other models using our main result. The construction of the three models is given in detail. The background from homotopy theory, differential algebra, and algebra is presented in great generality.

Publisher: American Mathematical Society
ISBN: 9780821819203
Weight: 340 g
Dimensions: 254 x 184 mm

You may also be interested in...

Algebra II For Dummies
Added to basket
Linear Algebra For Dummies
Added to basket
Maths for Science
Added to basket
£35.99
Paperback
Edexcel Award in Algebra Level 3 Workbook
Added to basket
Introduction to Graph Theory
Added to basket
Algebra I Essentials For Dummies
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Linear Algebra
Added to basket
£61.99
Hardback
Book of Abstract Algebra
Added to basket
Linear Algebra
Added to basket
£31.49
Paperback
Linear Algebra: Concepts and Methods
Added to basket

Please sign in to write a review

Your review has been submitted successfully.